Could you link the page that was meant to be serious that people think is a joke? I'm not sure which one you're talking about.
I poked through your work a bit and people seem to be taking you seriously. Your artwork is pretty and though I didn't see much of your stories, they look interesting, plus you've got good numbers of subscribers. I can't imagine that people would be mocking you.
I can imagine, though, that if they're fans of yours and fans of your work, they see your pages through a light that makes amusement easy, as they're invested in the story and characters. A line that wouldn't be a joke on its own can often get laughs or witty responses if seen through the lens of being a fan. Plus, people are often trying to be light-hearted and fun in comments, even if the page itself is not.
If it helps you with the anxiety, remember this:
No matter what you post on the internet, or what you do in life, there will be both people who like it and people who don't like it. All you can do is be true to your own sense of entertainment and your own sense of storytelling, and you will attract the people with the appropriate tastes.
There's no reason to fear someone who doesn't like your work.
If they're mean about it or mock you, they're just being an ass, which isn't your fault, so it's no problem.
If they're constructive about it, then they're trying to be helpful, so regardless of whether or not you agree with them, it's no problem.
If they're neutral and don't really get into your work, that's inevitably going to happen sometimes, so again, it's no problem.
So, regardless of what people think of your stuff, there's no reason to worry. No one can touch you. Even if they do their worst, it's no problem. The only ones who matter are the ones who like it, and you have plenty of those.
You haven't done anything wrong. You're doing fine - more than fine, actually - you're doing really well.
You've got a fanbase of at least a couple thousand people, so you're clearly doing something right. Everything is fine, and your comics are pretty. 