Which Republican 2024 candidate is likely to be hated among minorities?

[TiltsAreUnderrated]

Most distrusted might be Tucker Carlson if his campaign is like his current commentary, but some ex-Governor or Cabinet official who operated in an especially racist way would probably do worse. Two things to remember with Trump is that the minority vote still trended Republican at the last election and that much of the animosity did not stem directly from his abrasive statements but from the dangers they implied combined with his history as a pretty racist landlord. He had a bad record.

[TiltsAreUnderrated]

Almost all of them.  Minorities aren't going to be OK with Republican policies and voter suppression just because the next candidate is less appalling than Donald Trump.  See George W. Bush for more.

Dubya was in the 40-50% range with Hispanics and managed double digits with black voters in 2004, which is better than most contemporary Republicans (meaningfully reducing margins matters - see most incumbent Democrats in rural states for reference). IIRC, Republicans also did a lot better with Asian voters in his runs than they have recently.