friendship trouble with best friend

I have been best friends with my best friend for 6 years. Our friendship is really close and inseparable and we went to the same sixth form and high school. recently we split to go to different universities.
We ft nearly everyday. But recently I've been noticing some cracks and differences in her friendship which get brought up. she's really emotionally lacking meanwhile I am very sensitive and I am rude in a teasing way and she is uncaring about it.
lately her rudeness ( because she reciprocates) has been in a way that can be unintentional and really hurt my feelings. she expects me to be uncaring like her but I am not. and she says maybe I just keep taking things to heart and I said yeah I do. She said she's only rude to me because I am and that she says it out of love. but when I said things to her out of love like warning her about her eating she says "well im going to keep doing what im doing" so I said the only reason I will stop saying it is if I stop caring: because I care I say it.
so mutually decided to stop being mean to each other because it was getting to a point where she didn't understand how it was hurting me because she isn't emotionally good at it. and because its o only fair I stop being mean to her so it stops being reciprocated.
even though its part of my personality, I feel this is the only way forward in terms of saving our friendship even if it means having to adjust.