well, even with this letters, i wouldn't guess, cuz i never had Mai Tai drink in hand, nor ever heard of it. . . and exiting, or minimazing the game window only to open browser and type hints from game is time consuming, and reflecting bad design, cuz the games aren't supposed to be created to leave the game to search for something. . .
what i did, i took 6 letters, and think a litte, about something that may make sense, and the after guessing for a few minutes, i came up with Muay Thai which it's name sounds similar, but it's not 6 letters, so after thinking for few more seconds, i deleted "u-y" and "h" cuz they weren't in hints, Ma Tai - still not the same amount of letters, 5 not 6, so after that, i tried to guess this one letter, and Mai sounded and looked like the most reasonable and makes sense the most.