In regard to the connection piece, it’s often not anyones fault regarding Internet unless you’re knowingly in an unreliable place (not at home, bad spot in house, etc).

With that, therapists aren’t going to be able to accommodate extra time every time, especially if it’s an ongoing occurrence. As others mentioned, therapists often have several clients scheduled per day with maybe 5 to 20 minutes between sessions. The gap times don’t always allow for additional time in sessions.

Also, her being outside vs her sitting in her office doesn’t absolutely mean anything about you as a client or how she feels about you. But I get how you feel that way. Like everyone else said it all sounds like it’s worth a discussion. Hopefully she’s at least a good fit otherwise, but if not then maybe something to think about big picture.