I am on the 9.45 Lufthansa flight to Houston from Frankfurt. Problem is I arrive from London at 8.55am. Am I playing it too close? Think I can make it?
Did you reserve the trip as a through booking? If you did the airline thinks you can make it. If you don't, it's their problem, not yours. It's not worth worrying about.
If you booked two separate flights then you won't make it.