Am I overreacting?

Things have been going pretty well with the guy and dating. Our level of communication and vulnerability is something I have never experienced in any other relationship. He told me he was looking for something serious and meaningful with me.

He deleted his dating apps and stopped talking to other people because I told him that I felt comfortable with him dating me. He, on the other hand, has told me that I can "do what I please as long as I am truthful about the outcome."

I also asked him if he would be uncomfortable with me hanging out with my neighbor, who he knows I slept with. I only asked him that because I wanted to ensure that I didn’t do anything that could jeopardise the relationship we’re building.

I’m normally not as emotional, vulnerable, or intentional as I’ve been with him, so my feelings were kind of hurt when he responded with

"Are you my GF?"

"I like you, but at this point it wouldn’t bother me; I want to see how things go before I get emotionally invested."

I’ve been shutting down ever since he said that, and my feelings toward him have also started to change. I know these feelings may come from a place of insecurity or be my defence mechanism, but I’m very guarded now. I almost feel like I’m not interested in dating him anymore but idk if it’s because im over analyzing this whole situation