I can understand having feelings towards fictional characters. While I'm not a furry or anything, I have had obsessions with female characters in the past.
I seem to have a thing for female magic users from games or other types of fiction such as mages, sorceresses, or wizards. There is something appealing about a woman who can shoot energy or elemental magic at people and be able to take down a whole army of regular humans like it's nothing haha

I also love strong independent female fighters who don't put up with people's **** and do things their own way.
The obsession was strong enough for me at one point where I spent countless hours and a couple hundred dollars over the course of a year or two playing an online game that was rather terrible and I was bored and disgusted with all because the character that I was playing was a female villain who had a very sexy voice. She acted like a cat playing with her prey before devouring it and would go around mocking people and messing with people's heads and her voice would get high pitched like she was excited when she was fighting people or causing somebody pain. I found it rather hot lol.
The obsession became so deep for me that it was interfering with my life at that point. I finally decided to quit that game without thinking about it. Cut them out of your mind completely and quit rather than them linger in your thoughts because the more you think about them the harder it becomes.