Well, when I think to characters not liking each other, I really try to use body movements. Speaking and actions might physically and verbally tell the story, but when you incoorperate those little details, such as eye dialting or a twitch of a frown or a smile appearing.
When people don't like each other, but have to be forced along, tension is amazing. Stiff talk (short sentences and replies), limited eye contact, monotone voices, keeping things along the lines of "this person is a b--- and why do I have to talk to them" is how I like things to go.
In the case of Evangeline (MC) and Philipe (prince that anastasia is marrying), Evangeline has just weird a-- vibes from Philipe. While she wears a fake smile, I ensure that she keeps polite whilst being investigative. In which again, I keep very short dialgoue and I really target eyes. Eyes are the portal to the brain and thoughts. So take this for example.
"She looked at him, anger in her fingertips."
Wow very exciting, I am so intrigued.
"With a twitch of her ear, Evangeline's eyes narrowed in on the prince. Eyebrows furrowed and pupils narrowing, the knight took a hollow breath, attempting to keep her emotions at bay.
What is the difference? Yeah, the first example is giving you the general direction. It does the job, giving you what's going on. But the second? The minute details are what it is. You can envision the main character narrowing her gaze and giving a sour look. Not that she looked at him, neutral; there is some sort of emotion hidden behind the look. Hence why I think that minute details are key.
However, with that said, overusing these details can harm writing too. Sometimes simple is better in between more general interactions. But when you have two characters that clearly arent meant to be friends, don't be afraid to bring forth the details. It can help.