Ask a girl out via email?
So, here's the situation:
I'm interested in asking out a woman whom I know professionally. We have intermittent, irregular face-to-face contact when work allows. After our last meeting, I sensed that she may be interested, but time constraints did not allow us to have a personal and private conversation. The next day I sent her a connection request through LinkedIn which she accepted the same evening. She has since viewed my profile twice more.
I'd really like to ask her out for a coffee, but because of the infrequent nature of our interactions, I don't know when my next opportunity will be. Given all of that, would it be appropriate for me to ask her out via her personal email address which she has listed on her LinkedIn profile?