To OP: Good thing she’s not running, then.
I think the next President could easily be Sherrod Brown or Kirsten Gillibrand, but it won’t be a Clinton. And if there is a Clinton-family royalist faction in the party, they’re incredibly stupid.
Oh, wait, Congress? Yeah, if she cared, she could run for Congress. But she’d probably stay in private life, raise her children, and enjoy her family’s dubiously-gotten money.