Girls advice

So I've been talking with this girl for a while, we've gotten to know each other some what well, she calls me, I call her, on valintines day I sent her a box of chocolate covered strawberries, because those are her favorite.the only thing, it's been kind of hard hanging out with her. She has a daughter so sometimes she has to cancel. Which I totally understand, her daughter comes first. I've talked to her about it, if shes no longer interested or just wants to be friends I told her to tell me, i don't want to waste her time and mine. But she keeps telling me no i want to hang out with you i want to meet you. Blah blah blah. The other day she told me her daughters grandpa had passed away. Shes been going through a lot. So on Friday I just wanted to talk with her. I asked her what she was doing this weekend, and she replied no I have too much going on right now. I texted her sorry I was just trying to make conversation with you. She apologized for assuming I was going to ask her out. And I just ignored her. She later on texts me sorry I didn't mean it in a bad way, I'm just shocked about what happened I don't know what I'm feeling right now. I told her dont worry about it. And she thanked me for understanding. I haven't talked to her since that day which was 1 day ago. My question is should I just delete her from my snapchat and her number and just move on? Or wait for her. I'm actually pretty hurt, but I'll live. Girls, should I move on?