Why doesn’t Uhura’s hair look like this

Very nice. It would be an improvement, and closer to the original Uhura, beautiful as well as competent.

Doesn't look African, which is where Uhura is from. They want an exotic/ethnic look.

I like her with hair, too. But the character is African, thus the short hair. I like it for the show.

If you wanna make a complaint about hair, Orterga would be the one. That cut needs to go.

That's a wig. Her real hair looks better.

Celia interview:
“I was just so tired of feeling like I had to look a certain way to be worthy of a platform and to be worthy of a space so I just took my sister’s shears and I just went to town. I don’t want to have to slap on a wig to feel presentable and comfortable. I just wanted to show up as myself. It was the summer, it was hot. I was tired of wearing these wigs. My scalp itches. I need freedom. I need my scalp to breathe. So I shaved my head and I think it was the best decision I could have possibly made.”

The haircut paid off for Gooding in more ways than one. She auditioned for a role in Star Trek: Strange New Worlds with the new look. It was a decision Gooding believes made all the difference. 

“The production team loved it. I can say with great confidence that if I auditioned for this role with a wig on, I don’t think I would have booked it,” Gooding says.

At the time of her audition, Gooding didn’t know that she was vying to play a young Nyota Uhura in the prequel series.
https://www.essence.com/celebrity/celia-rose-gooding-star-trek-strange-new-worlds%EF%BF%BC/

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Looks like a wig... No black hair looks that permed since they're by default curly.