Update: I waited and she texted me this morning and asked for another date!

So I (22M) met a girl (19) I thought was cute about 2 weeks ago at an athletic event at the school we’re both students at (she’s undergrad and I’m a grad student). We got coffee last week and had a good conversation and I did the things I’ve learned to break the touch barrier like small taps on her arm/leg during conversation and such. She also hugged me when we met and then again when we said bye. We texted only enough to setup another date which was today and we went to an art museum and got ice cream after. I hugged her when we met, complimented the dress she was wearing, and also excitedly pointed out that she had painted her nails a few minutes later when she was showing me something on her phone, and tapped her arm, bumped into her, etc while walking to the museum and then lightly touched her lower back as I held the door for her to go in as is recommended by many here. She didn’t really react to the back touch so I thought things were going fine and that was my first time ever doing that to a girl since I don’t have much experience (my only 2 dates in my life have been with this girl). We got past the admission area and as we were walking to our first area she calmly mentions that she’s only comfortable holding hands right now but not me touching her back like I did. I apologized and thanked her for telling me and things were back to normal (maybe passed a small test?).

I stuck to just light arm touching or naturally bumping into her for the rest of the date since I didn’t want to overstep her boundary again. When we got ice cream after, we sat beside each other on some stairs and talked and she shared her ice cream flavor with me using her spoon which I thought was a little cool and showed that she was definitely still comfortable around me and that I hadn’t blown it by touching her back. We had lots of really interesting conversations and I was asking her lots of questions and she was doing a lot of the talking. Other than my small mistake which wasn’t really a mistake I think the date went really well, and I walked her back to her apartment and talked for a little more before she gave me a hug and said bye. I noticed her looking at my lips occasionally as we were talking while we had ice cream but didn’t want to risk trying to kiss her today since she had said she wasn’t comfortable with anything more than holding hands yet. There was also lots of students around her apartment so it wasn’t exactly an intimate moment. Was this the right thing to do? She complimented me on my shoes and hair style at different points today which felt really nice and laughed at every one of my jokes no matter how lame some were. I felt like she was just letting me touch her and not reciprocating much but she eventually started play hitting me and touched my chest a few times which seem like positive things.

I understand that generally it’s better to try making a move early on and kiss her the first or second date but there hasn’t been an intimate moment where it’s felt right to do so yet, but I like this girl and don’t want to make a mistake by not escalating enough with her. She had something from the museum and a bottle of water in her hand so I feel like trying to hold her hand while going back to her apartment would have been forcing it a little. We also didn’t setup another date in person but we talked about playing tennis together soon and she mentioned a few other activities we might do together later. I want to wait to see if she texts me and says she had a good time and suggests a date. Is this a good idea or should I text her maybe tomorrow or Tuesday and try setting up another date? There’s another athletic event at our school for the same sport I met her at that I want to take her to on Friday so I’d suggest that first but I’ve got other ideas too.

Basically, did I do the right thing by not escalating any more than I did? Should I wait for her to text me or should I try setting up another date after a few days have passed? Feel free to drop general advice you may have as well since I’m really new at dating. Thanks for your help seddit.