I have a Fukien Tea too. It is a very hardy tree, but doesn't like direct sunlight. They prefer bright shade, or indirect sunlight. It isn't dried out, they love tropical temperatures. I live in Connecticut, and it gets VERY humid. It floursihes under tropical temperatures.
It IS overwatering, I would suggest taking it to a south window, or maybe a Northwest window. I have mine in my room. It sits on my desk, right next to a window that is facing Northwest. It gets mid to late afternoon sunlight, direct. It puts up new growth nearly everyday.
So, put it somewhere where it doesn't get bright, Florida sun 6 hours a day. That would put it under stress. I also have to say, most people I know that live in Florida with Fukien Tea, get nervous, and overwater them.
So, yes, take it out of the Florida 6 hours a day sun, and put it in a window with afternoon BINGO sun. Mine hasn't put up 1 yellow leaf all the few months I've had it. I give mine like a 4th to a half cup of water every 3-5 days. Since it is warmer where you are, I would suggest a 4th cup every 3 days.
Another method you can use to see if you plant is too wet or too dry, take a toothpick. When you are getting nervous, stick it in the soil all the way. If it comes out clean, you may want to give it some water. If bits of damp soil cling to it, wait a day or so. Me, I just put my fingertips in. If it is cool, and damp to my first knuckle, I'm good. If it is hard, and crumbly, I need to give it a drink.
I really hope I helped!!!!
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