The organization demanded the program retire the mascot ASAP ... saying the British bulldog looked "MISERABLE!" and needs to be moved to a new home.
PETA added, "No dog deserves to be packed up, carted from state to state, and paraded in front of a stadium full of screaming fans."
But, Watson -- who played at Georgia from '01 to '03 -- raced to his alma mater's defense Tuesday ... saying in a tweet Uga X is doing just fine at Georgia and DEFINITELY has a loving home.
Of course, this ain't the first time PETA has gone after Uga ... earlier this year it demanded his removal from the school after he and the University of Texas' Longhorn mascot got into it on the sideline.
For its part, Georgia doesn't seem to be in any hurry to bend the knee to the organization ... with no imminent plans to ditch the mascot anytime soon.
In fact, Uga X is expected to be on the sidelines when Georgia takes on Georgia Tech at GT on Saturday.