Didn’t want to kiss, blamed covid.

Met this girl online. We've been on 4 dates.

1st date: walk in the park (literally).

2nd date: drink and food at an outdoor patio, then walk

3rd date: went for a hike

4th date: batting cages, then dinner at outdoor patio.

For context, we have not had masks on. We've kept a normal distance (2 feet) and have been chatting face to face. I'm a bit confused. At the end of the 4th date, I dropped her off at her house. I didn't really expect to be invited in, and i wasn't. I did however lean in for a kiss, and she turned her cheek so I kissed that. Definitely akward. Now if she didn't say anything, i would have just went home and thought , we'll maybe shes shy. But went i got home she texted me and said she's conscious of covid and she visits her grandparents and nephews etc and wants to be cautious. A part of me is like, we'll why would you be dating someone right now….

Another theory that keeps popping into my head is that she's not that interested in something more and wants someone to go on dates with and hangout and ultimately pay for those dates. For context i've paid for pretty much every outing. The 1st dinner and drinks, the batting cages, and the subsequent dinner (total around 150). She has made comments about paying but hasn't actually paid for anything really. She's had chances. The last dinner we had i asked for the cheque and well you know the drill. There are opportunities to chime in and be like ' hey lets split it'. But she never did say that. It just makes me feel like something is off. I don't want to be the only one financially supporting these outings, and I don't want to be dating someone who I have to beg to be physical with.

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EDIT: I'm 36M she's 28F EDIT 2: didnt pose a question so here it is….should I continue to date or end this? I want to be be physically intimate because I'm looking for a relationship. She is kind and fun to be around but I'm not just looking for a friend/cool hangout.