Advice Needed

Soooo I'm out of a long term relationship and am embracing this new me. And there's this girl I really like (stud) I know she likes me too. I really like her and am currently only really interested in her but I talk to other people. So does she but I feel like I can't handle her talking to other people. I don't get mad just sad that I know she does. We have only been talking for a short time but we went to high school together. I know I'm not ready to be in a relationship, I'm mentally prepared to take things slow. I have been hurt in previous relationships so I'm it sure If that is the cause of my feelings or do I need to just stop talking to her altogether! Advice Please 🤦🏽‍♀️