I am flying LH from LHR-FRA-CDG this July. The LH website only sold me short connections.

I have a 75 minute connection as my flight from LHR arrives at 11:05am and the CDG flight leaves at 12:20pm. Will that be too tight for a connection (cannot change as LH only giving me 50-80 minute connections)? What happens if I can’t make the connection? Will I need to pass through security in addition to passport control?

Note I’m not an EU citizen and traveling on a USA passport.