Uhura asks a crewman to fix her door in the very first aired episode that she was in. It may not be a heavy command decision or anything and she frames it as a polite question, but she does give a white man a job to do that he is required to perform.
You're not wrong, but here's the dialogue:
UHURA (to crewmen) The door to my quarters still rattles when it opens. Would you stop by and see if you can do something about it? Thanks, Bobby. (Green changes into African crewman) Crewman, do I know you?
CREWMAN: In a way, ma'am. You were just thinking of someone like me. I'm guessing of course, but you do look a little lonely.
UHURA: I see. So naturally, when I'm lonely I think of you.
CREWMAN: Ina cuvanea mwanamke turee.
UHURA: Una kafeeri Hur. You're Swahili?
KIRK [OC]: Lieutenant Uhura to the Bridge. (the crewman begins to reach for her face) Lieutenant Uhura to the Bridge.
RAND: I'd better get this tray back. Bye, Beauregard.
SULU: Wait a minute, I'll walk along.
KIRK [OC]: Lieutenant Uhura, report to the Bridge.
UHURA: Lieutenant Uhura. On my way, sir.
I think that's borderline, because it's framed as a polite request (though you are right he has no real choice) rather than an order. Kirk's line is an order! But also it's about a 'domestic' matter rather than ship operations.