no no,not Uyghurche made me happy,i teach him Uyghurche ~this thing made me happy.

Here are some corrections for you, to help you improve.

"I taught my first student through italki; he is a hard worker.

Now, I'm not sure what you're trying to say at the end of this, but perhaps you could say something like: 

"It was my first time teaching someone else, and Uyghurchemade made me verry happy."