Please don't bump your threads.
It's your first date. Not being invited into her place is standard. Her asking if she makes you nervous could be detecting incongruence or nervousness, or she could be asking it back since you asked her (don't ask her that). Given how the date went, I don't think it's anything to worry about.
Also, not being invited in is a typical logistical disadvantage to dropping her off her her place -- she decides whether you can come in or not.