Rekindling trust with a friend I had a falling out with

A long time friend of mine knows is a bit stubborn and a bit of a know it all. She knows I'm a bit sensitive and read into comments people make. A while back she was on her soap box and not hearing anything the rest of us in the group were saying. I called her out on it in a rude way and we had a falling out for a few months.
Now we spend more time together and I've been trying to take what she says at face value. It's difficult because I very much believe in implicit bias and when we talk it's like she's talking to someone less intelligent than her. She's condescending.

So we are still having the same old problems and she feels like she has to walk on egg shells talking to me. All I really want is for her to be tactful and less stubborn that she is right all the time. I don't know what I can do on my end to improve the situation.

Aaron321 wrote: I don't know what I can do on my end to improve the situation.

Nothing much.

You cannot change the way others are, and it's very hard (if not impossible) to make them change their perception of you. The way I read your post, your friendship doesn't work on either end. It's probably easier for both to move on and just maintain a civil, acquaintance level relationship