Should I pull back?

She said she’s really into me, loves talking to me, trusts me, parents raised me right and all that but I asked her to go on a date a few times and she says yes but never follows through with it. I asked her today and she said it was her dad’s bd so that’s fine but she said she would get back to me when it finished but never did. She also takes forever to respond but when she does it’s always good, flirty and with high interest so idk what to do. If she responds should I not message for a couple of days and see what happens?