Every coach has her favorites. The thing is, she’s usually not aware that she has them. She’s certainly not aware of how you feel about her having them.
Maybe you can have faith that your coach likes you, not because of your perception of how she treats you, but merely because you’re on the team. It’s probably much closer to the truth.
[PS: “Like” isn’t the best word to use in this context. There’s almost nobody I don’t like, but that doesn’t mean I’d let just anyone on my team.]