Open Question: Should I cut contact or keep dating?

I keep asking about this, but as I think about it I keep seeing it differently.

I was dating a girl who it turns out had just broken up with her 2+ year boyfriend. It was going great — it was genuine interest and I really don’t think I was just a rebound.
We got drunk and decided to make it official. A couple of days later, she obviously had doubts and told me she thought she was ready for a relationship, but she wasn’t, and didn’t really know what she wanted.

I took this as that she needs some space, so after dropping her home stopped contacting her.

Now the question is — was this the right move?? Did it actually mean that she needed space, or just that we should slow things down a bit?

Should I stop contacting her and let her sort herself out, or should I text her sometimes like we always did, and meet her less frequently (if she’s up for it) — basically treat it like the early stages of dating??

I look forward to your opinions

Open Question: Should I cut contact or keep dating?