I feel like I really hate my housemate.
Are you serious? What has she done?
She talks too much and makes claims that are simply not true.
I can understand having a housemate that is a big talker becoming very annoying for you. You shouldn't outright hate them for being a very vocal person, you should communicate with them that you're not the type person for small talk and that you feel they are not being totally honest with you with some of the things they say. If you go the route of just outright hating them it could diminish your relationship with your housemate and cause issues.
I'm not mad, I'm just annoyed, it's my thing.
Well as long as you are only annoyed, we all have differing personalities. It is rather understandable. Have you tried telling her how you feel?