I beg to differ, mon ami. Historical sources would indicate that Theodoric
was probably aware of the fortunate similarity of his name to the Greek for "gift from God", and may have capitalized on it in a leadership sense. So your comment is certainly a valid contribution to the name's etymology.
However, I believe the original derivation of his name is not Greek but Gothic: Thiudareikhs, "Ruler of the People". I doubt if there were many Greek speakers on the island of Gotland, the Baltic Swedish area from whence these hosers migrated south quite early in the A.D.'s.
And lest our fellow BtNers have heard it wrong since grammar school (as I did), it's thee-ODD-o-ric, not thee-o-DOR-ic.