Work situation?

I will try to make this short and sweet.

I am a 31yr old Male who has Anxiety,ADD, and does have depression time to time.

I can be forgetful at times and not on purpose

At my job I found out my coworker reported some items i forgot to do to my supervisor without telling me anything. I confronted her when she got in for her shift and asked why she didnt come to me and tell me that an area needed attention. She replied to me in a way that made me feel uncomfortable and told me she was tired of talking to me and that it seems i do better when the supervisor has to tell me things. I feel this to be untrue. She engaged me a little more after that telling me to come on as if she wanted me to fight back or say something. I kept my mouth shut and just walked away because i didnt want to say something that could make the situation any worse.

I didnt tell my supervisor about this at all.

Some little details are my co worker has been working there for quite a while and i am still sort of a fresh face there. She rubs off to me as a person who might bend the truth to keep her job. She is well known and respected as a worker there.

What should i do? How do i approach this situation properly without jeopardizing my own job.

I would try talking to her again but being it has gone this far i fear we can't talk like we used to anymore.