Hillary Clinton would be awful. She'd be good at making the media and lower level people think she's doing a good job, but not at actually doing it.
Trump cares about perception too, he's up for re-election. But he's way more wired to work and find solutions to problems.
If you don't like Trump that might be hard to see, but remember that this is a rare case where there's a totally non political "thing" for the President to concern himself with. Like "here you go, here's a puzzle".
A lot of his job is probably organizational and directing people. No way Clinton is better at that than Trump. Trump has habits of doing exactly this kind of thing, Clinton's habits are managing the perception of her. (It's never mattered that she actually do a good job, just that people think she's doing a good job.)