This comment may get removed, but take this as a suggestion for how to increase your chances of finding an answer wherever you end up asking.

First of all, if this sub does not work out, you could try for better results posting in r/Antiques or r/ThriftStoreHauls.

Secondly, even internet sleuths on r/whatisthisthing will need more details to figure out who this random elderly, slightly concerned-looking man may possibly be: what country/region of said country do you live in? When did you acquire the bust? From whom? What is your best guess for the bust's age? Any clues as to who made it? In the end, it may very well be a portrait of the artist's uncle. Who knows.