I assume you mean Taya and not Tayla, since Taya is in your subject line. :)
I agree with what Lily said about the Tea spelling immediately calling to mind the word and also that no matter how you spell it, you'll have to clarify. However, I don't think either of those things should stop you from using the name. I have had to spell my name for everyone my whole life and now that I use my MN, I have to spell that, too. With Keilees and Xaydyns being the norm now, lots of people have to spell their names constantly.
I like the spelling Téa best, because most people will know how to pronounce the acute-accented E (I think) and it's clean and simplified. Taya isn't bad, but I'd just be afraid that it'd blend in too much with all the other names with "ay" sounds/spellings that are mega-popular, whereas Téa has a distinctive look. I'm not usually big on short names, but I do think it's pretty and not overused.