I want to be exclusive she doesn't, should I end things?

So I've been seeing this girl for about a month, we've been on 9 dates. She really likes me but she's still indecisive about things.

She said there's a lot of things she likes about me, but one thing really bugs her, she feels I don't listen enough or give her enough breathing room when we talk. I told her I'll work on that but she's skeptical. But we had a pillow talk session on Sunday where we had a good heart to heart which really impressed her.

She said she's very afraid of being exclusive, and she's really undecided on if she wants me long term or not. Rationally speaking we've only seen each other for a month and we should get to know each other better. But we have been very intimate so far.

She wants to date other guys while she makes up her mind and she already has met one guy that has established some romantic connection over the last week and a half or so. He mentioned he's jealous of me and how she talks about me, but will still pursue her even if I'm in her life or not.

She offered me the ultimatum to carry on dating, and risk getting hurt that she may be as affectionate, or more with another guy and potentially her choosing him over me. Or ending things now before this all goes really wrong. She said she really likes me and even loves me, but does not want exclusivity at this moment in time.

I don't know what to do, I really like her and would like to get to know her better.

Any insight would help!
I want to be exclusive she doesn't, should I end things?
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