Depends on the girl—you're kind of generalizing it from one bad experience, LOL.
I mean that's one girl, and if she was put off as quickly and easily as you say, I'd say she wasn't worth it. Someone who won't even hear out or take a passing interest in someone else's hobbies, not worth it. Plenty more fish in the sea. As a whole, no those things will not turn off girls, as a whole, there are plenty of girls who're into that sort of stuff, but they might turn off specific girls.
Speaking as a girl, I would be more interested in a guy who likes anime and video games, lol. So it's definitely not a universal thing.
Tapas forums is not really the place to seek out dating advice.
But if she doesn't like anime, then it was never going to be a good fit. Everyone has their likes and dislikes and if your partner is disgusted by something you love, it doesn't seem like a relationship that will last very long or be enjoyable to you.
The importance is that you put your mental health before trying to impress girls. If your hobby isn't hurting anyone and makes you happy, then you should value that. Your value as a person should not be based on whether you can impress a girl or get a date, because you are just going to make yourself miserable. This isn't me being anti-dating, it's more that if you can't take care of yourself, how can you take care of a partner?
Hi guy. Girl here. Girls don't care if you like anime. A lot of women like anime, even women who are attracted to men. The problem I see, solely based on how you worded this post, is that you think that you are entitled to a woman's affection. Now some girls might not like video games and anime like others have stated. Girls are able to like a myriad of different things. My Spidey Sense is telling me that she might have been more uncomfortable than anything. Unless a woman actually vocalizes that she doesn't like anime, don't assume.
If you work on being the best version of yourself, eventually you will find the right partner for you.
Actually getting laid isn't the problem, I've come across girls that wanted to have intimacy with me but the problem was always Christianity, that religion brainwashed me into believing that I'm going to go to hell if I get intimate with anyone before marriage. Religion screwed me over
"Tapas forums is not really the place to seek out dating advice."
Not sure what kind of bomb was dropped there but damn 
This topic is kinda doomed from the start, though, I'll agree with a lot of what everyone said here. Especially with what @cherrystark said. OP definitely needs to rethink the situation a good bit.
well, she could have also been more of a bleach girl xDD (or whatever would be to boruto what bleach was back in the days to naruto)
Well to be honest, I don't feel entitled to a woman's affection because I know that it would be wrong to think that I'm compatible with every girl I might like
For people who don’t watch or even engage with anime, it has a negative connotation due to stereotypes and bad chance encounters. A lot of people get exposed to weird hentai or ecchi garbage (with pedophilia, non-con, incest, blatant objectification, etc) thanks to the internet, so to them (and the people they talk to), professing your love for anime may also profess a love for those other things. Especially with younger people, who have less experience with the world. The solution is finding people who are either into the same things you are (so you avoid this misunderstanding), or re-assessing how you present your interests. Like, there's a difference between saying "I luuuurrrrvvveeeeeee anime big titty waifu shirt" and "I like hand-drawn animation and one day want to be a director/animator/character designer/etc". Most people can respect goals and aspirations even if they don't get them. And if they won't at least respect your aspirations, even if they don't get them, well... that's not a person you really want to have around you anyhow.
It just seems like a weird place to seek out that sort of stuff. The forums is 13+ and most people are here to talk about comics, writing, and media. I think if I was having relationship issues, I won't really want advice from someone who might be 15.
But do you understand why I said the girl might have been uncomfortable? A lot of guys who have trouble getting girlfriends tend to come on super aggressively toward the girls they are interested in. They interpret every action she does as he liking him, even though she's being polite, and then react angrily when she doesn't reciprocate. Now, I'm not saying you are this type of guy. Even if your personal intentions are good, most women have a sixth sense when it comes to potentially dangerous situations. If you keep working on yourself to become the best version of yourself you can be, you will find a girl who will like you for you and you'll have a healthy, loving relationship. But this takes a lot of time and work.
Yeah I get what you're saying, I hear you loud and clear
Oh no I don't go after girls aggressively, I'm more layed back
An interest like anime is probably like the farthest thing you need to worry about when deciding if your interests are a turn off.
I’m a 19 year old female college student, trust me when I say there’s more people who like anime than you realize. It’s starting to become “cool” now (which is funny as people like me who have liked it for a while would get made fun of it back in middle school but I digress), especially with the mainstream and rise in popularity of anime’s like AOT, Demon Slayer, and JJK. I’ve met a good 80% of my friends in college because I saw a Naruto sticker on their laptop and started a conversation with them about it and things like that. Even people who I thought were “too cool” for anime liked something, usually AOT or One Piece.
Sure, not everyone likes anime and there are definitely people out there who think it’s weird still, but with the rising generation, especially gen Z, it’s a super common thing to talk about anime. Ofc, I don’t know how old you are, so the stigma about anime and nerdy topics are definitely different from generation to generation. But there’s always people out there who share your interests, especially girls. I wear my attack on titan t-shirt to volleyball and guys come up to me and talk about it all the time. You’ve just got to find your people. Sad truth is a lot of women are shamed for liking stuff like that while guys get away with it because it’s more acceptable for them, so a lot of girls hide their interests in nerdy things because it’s “weird”. Just be confident about what you like and people will find you. One negative experience does not equate to every experience!
I seems possible that by showing anime interests, it contradicted an image of you that she'd built up from things previously said & done. You changed her perceptions in a way that didn't appeal to her. Perhaps you ought to have taken that as an opportunity to ask her why she seemed to be repulsed (and even if your impression was correct) and thus learn more about her.