Even in vocations like acting, attractive men won't enjoy long careers, if they confine themselves to playing typical leading men*. Very few can be textbook movie stars in the vein of Tom Cruise, George Clooney, The Rock, and(to a lesser extent)Denzel Washington. Even here, how long such fellas can keep it going remains to be seen...
Now that TC has finally admitted he's no longer physically capable of doing what he did in The 80s and 90s(and that it'dve probably been wise to lay off the action hero schtick sometime around '10), and has long since aged out of playing run-of-the- mill romantic leads, does he really have the dramatic chops to pull off character driven roles? Clooney's believability as a relentlessly suave man about town is already in decline... Will that even exist at all in less than a decade, when dude's in his 70s? Washington seems to recognize that he's stretched his matinee idol status as far as he can, and is thus transitioning into both Bible thumping and behind the scenes work
So yeah, your handsomeness can definitely become a bind, same way women's beauty is often simultaneously both a blessing and jinx
*This isn't even an especially original observation: As far back as the early 20th Century, James Mason and the like were breaking the mold
https://m.imdb.com/title/tt11310856/ by playing villains and morally complicated characters, rather than standard heroic heart throbs