Is it too soon?

My ex and I had a tulmoltuos relationship of about two years. We lived together for a year because it was the cheapest option at the time. We had little fights throughout due to communication issues.
She ended up having to move back home for financial issues, but before she left, we were getting along well. Long distance was hard, and I know I asked too much of her, but I had my reasons. She previously cheated on me, and told me early on she still had feelings for her ex, who she had regular contact with. I didn’t know it at the time, but she started dating me only a month after they had broken up. She said the feelings for that person faded, but it was still hard to trust that.
After she Moved, I slowly started noticing her pulling away. I realized that while we were still together, she seemed interested in someone else. She broke up with me, and admitted that the reason was I was too controlling. I understood where she was coming from, and said I’d fix it, but she told me that she was done and didn’t want to do the back and forth stuff. She said I should move on. She’s now “only talking” to this person, but they started the courtship only a week after we broke up. She came to pick up some of her things last week, and she kissed me, saying it was partly real feelings, and partly habit. She admitted she still loves me, and part of her will always want to be with me. She doesn’t contact me first, but she was never big on texting and we never really had phone calls.
She’s friendly when we do talk, but she doesn’t talk about the relationship at all. Considering it’s only been a few weeks since we broke up, I’m not sure of it’s just too soon to even consider getting back together, or she really has no interest.