Been married to the same ISTJ for almost 43 years now and I can be pretty ENFP at times. But I think my suggestions would apply to nearly anyone.
The secret is that there's no rules to follow unless she gives you one, which she would be wise to do if she's into personality types. So, if you do connect, you could ask, "Would you please let me know within a week?" etc.
None of us can read each other's mind so trying to guess her motivation is an exercise in futility.
My approach to getting to know people better is straightforward. Although it took some practice at first. I just tell them I like them and would they like to spend time together. This is a bit of a set-up for a blow to the ego so you gotta have a little self-esteem going for you if you use this approach. But it clears the air immediately and neither party ends up playing a guessing game. Or invests a lot of time dancing about trying to read the others' mind.
I just figure people know what works for them in relationships and I can't expect everyone to want to be my friend. It doesn't mean they're hostile, which this woman obviously isn't. Just means that they don't think our personalities are a good fit. I can accept that without a stab to the heart.
So just saying what you'd like doesn't seem unreasonable since she's already chatty and friendly.
"I'd like to go out with you. Do you think we could work out a time and date that will work for us?" Like that. Although I'm sure there are some kinda unspoken rules for this generation of dating folks where you can present that invitation kewl-like.
You'll have to get suggestions from others about the language to use.
Try to encourage as much open and honest talk as you can about your mutual expectations of each other.
