Hi there,
Pardon my inexperience with this, and please help me understand it.
I received a notification one of my 'matches' was interested. .
I viewed her profile and thought ...sure, and sent an email.
An hour later I get a pop-up on my tablet saying she wants to chat and will I accept.
I click yes and it closes and I don't see it anywhere ...not in my gmail and not in my M2 inbox.

So ...how does a chat get initiated after that? Do i just wait for another communication with a link in it or what?

Welcome, YouSendMe. When using the full site, you'll see the match on this page:
http://mingle2.com/mutual_match/your_matches

Other than that, it sounds like it could be from another site. I suspect this because, unless a Mingle2 member is a premium member, he/she will not know what other member(s) are interested in him/her. Mutual Match is a blind system for non-premium accounts.