Search Results: asking for a girl's number

I met this girl over Zoom and hit her up; we started texting occasionally and studied together for an exam over zoom. We studied only for an hour and just talked for about 2 hours. She is new to the area, and she wanted to grab coffee but was nervous about doing so because she was new. However, it was surprising that she mentioned that she has a roommate with whom she could've grabbed coffee with, but she instead went with me.

I asked her, "would you like to grab it with me" and she instantly said yes. We set up a time and place and offered her my number, but she instead gave me hers. It seemed like if I hadn't hung the call-up, she would have still been talking to me, anyway. We met up the next day. She was very shy in person, and it was me asking her the most questions. We grabbed coffee, and she paid for me. I don't know what that means. At one time, I accidentally invaded her personal space, and my shoulder was brushing against hers while ordering coffee and when I noticed, I jumped back, but she didn't seem to mind.

Due to COVID restrictions, we were not allowed to dine in. I offered if she wanted to go back to my car, which she agreed to. This was a bit surprising because she only knows me from a 2-hour zoom conversation.

We went back to my car, and I showed her the campus; and she eventually got out of her comfort zone and started asking questions, talking, and laughing at the dumbest things I said. After a few hours, I dropped her at her dorm, and she asked me a question related to schoolwork and said thank you for showing me around, and left.

She didn't text me afterward, but I texted her two days later, she responded quickly, and despite ghosting her unintentionally, she still responds fast to my questions and comments. I want to ask her for another date, but I don't want to waste her time nor mine. Is she interested or just being friendly?

Thank you

P. S. Would you classify this as a date or hanging out?