Is it normal for this girl to be ignoring me after i asked her out?
I planned on going ice skating with this girl, and before we actually went, I hinted that it was a date. She said that she thought we were just going as friends, so I said that's fine. We went ice skating, had a great time, and she even held my hand because I was falling a lot. Afterwards, we got hot chocolate, and I offered to pay, and she was okay with it. So after this, I was kind of confused because it felt like she liked me (but I guess I could have been making it up in my head).
Anyway, fast forward a month or so, and I decided to ask her to be my Valentine. I made a video to ask her, and she replied by saying that it was sweet but that she can't be my Valentine. So at this point, I knew for sure that she didn't want anything more than friendship from me, so I told her that's totally fine and that we can be Pal-entines instead. The next day was a little awkward, but after that things got more normal.
Recently, the past few weeks (it's been more than a month since Valentine's Day), she has been really distant from me, kind of ignoring me when we're around other people, she doesn't really laugh at me anymore, sometimes I feel like she doesn't even want to look at me, and she doesn't reply to my messages when I send them (I don't send her messages often, just like a few every now and then). What do you think is going on? I've spoken to a few people about it, and they said she is trying to actively show me that she doesn't want anything more with me and that she's making sure I don't have the opportunity to ask her out again. I totally understand that, but I get the message now and just want to be friends... So how can I show her that? Or does she just not want my friendship anymore either? Should I just leave her alone and give up on the friendship, too?