Remembe that unlike 3e, the general 5e philosophy is that unless a rule says you can't do something, you can; or at least try it. Which here means, absent any rule or even guideline to the contrary, a player arguing that a character's hot appearance should be a benefit in social interactions (especially in initiating said interactions) is on solid ground both rules-wise and simulation-of-reality-wise.
A one or two word addition within the write-up on Charisma and that whole line of argument vanishes without a trace.