The begginigs were hard, now it is much better once I got used it. I think the main thing is how the person deal it with themselves and how the depression/anxiety manifest.

My gf is super commited to get out of it. She used to be much worse (before we met) she was diagnosed with bordeline personality disorder and was told that she will never get out of it. Now she does not fit to the diagnose anymore and she keeps getting better.

The anxiety/depression alone does not define the person completely. All others personality traits you need to take into account. My gf never used her mental state to be an excuse to be an asshole. She is sweet, inteligent, hard working and has good heart.

Some people mental problems manifest in them being agressive, manipulatitive, jealose, paranoid etc.

From what I have heard and seen some "normal girlfriends" are way worse than some girls with anxiety/depression problems.

I would not recommend writting off people just because they have depression or anxiety. Get to know them better ask their values and look how they deal with the mental illness themselves.