https://www.acsearch.info/search.html?id=6268575 So I found a similar coin. Maybe this is really my Sicily? Around the female portrait there is a faint inscription in Greek.
I suspect that's actually not a female portrait but Apollo. Being a god of music he often appeared on coins with a lyre (on over 80% of lyre types in RPC). Such as this type: https://rpc.ashmus.ox.ac.uk/coins/3/724 (Also notice that yours is facing left, while the type you linked faces right.) Many cities struck similar designs, though, so it's going to be hard to figure out which unless you can make out some of the legend. (The one I linked is Perinthus in Thrace.) You can search RPC Online for "lyre" or "lyre apollo" and page through the results: https://rpc.ashmus.ox.ac.uk/search/browse?q=Lyre+apollo
Thank you for your advice. But on my coin it may not be Apollo. And in this configuration I did not find my coin. By the way, opposite the nose of the female image there is the letter O.
There are over 600 types of Apollo/Lyre types in RPC Online, so it wouldn't surprise me if a few dozen were missed by the editors. But, if not Apollo, another possibility is Senate, whose legend ΘΕΟΝ ϹΥΝΚΛΗΤΟΝ might fit. Also male but looks very female by modern standards: https://rpc.ashmus.ox.ac.uk/coins/2/951 (that's right facing, but left facing probably exists)
