In Parks and Rec. there is the character Ben Wyatt (played by Adam Scott) who has a backstory of getting elected mayor at 18 and ruining his towns finances by building an ice skating rig called Ice Town.
Yeah, it's pretty bad. It's literally "my dad, the former mayor, didn't run so I ran in his place." Personally, I would have a hard time voting for her, no matter how good her father was. Fuck political inheritance. That's damn near antithetical to the ideal of (the American vision of) democracy.
I am sure you appreciated Bush 2 Electric Boogaloo, Hillary Clinton's disastrous run that only happened because she had insider clout from her husband to shut down the Sanders campaign, RFK Jr the "My daddy was a civil rights hero who was shot" candidate, and the constant calls for Michelle Obama and Chelsea Clinton to save us?
Being a close relative of someone who held a position should disqualify you from that position - there is far too much hereditary bullshit in American politics.