<human>: Can you succinctly summarize the text in 1-3 sentences?

Around two years ago I dated this girl for about three months. It was a shit show. I was going through depression and stress from questioning my vocational and educational choices and wasn't really there for her at all. She liked me a lot, deep down I liked her, but it just didn't work. She ended things one night by saying I was horrible (true) and to never speak to her again.

I followed what she said and slowly forgot about her. Three weeks ago I was walking downtown with some friends and I saw her across the street. Even though it was a busy night, we definitely both saw each other and stared at each other for a few seconds before we went back to whatever we were doing at the time. 

Last evening I sent her a text congratulating her; a painting of hers was in a local fancy gallery. She immediately responded half a second later with a very curt thank you and letting me know this wasn't the first time. We made small talk about her art and the conversation grew a lot warmer. Not once did she make it known communicating wasn't a good idea. I let her know her favorite band was on shuffle that afternoon and it made me think of her. She said it was very sweet. 

Basically, I asked her if we could start talking again because I miss her. She asked why I was contacting her again (e.g. if I was horny and was trying to booty call) and asked for an explanation why I was so shitty back in 2014. I told her that it wasn't an excuse for my actions, jsut that I was having trouble and shouldn't have let it mistreat her like that. 

Last thing she said last night was "I'll let you know" re: us talking again. 

I'm a very assertive and headstrong person, waiting around for something isn't my strong suit but I would like her and I to be friends again. Do I just completely wait and not open communication again or in a week or so ask her to join me for a casual lunch?
<bot>: two years ago dated girl for a few months. Wasn't in good place. Am better now. Reached out to be friends. Says she'll let me know.