I actually happen to have 5 examples of this
type. It is common mistake to attribute it to Adraa, even
Sofaer collection by
Meshorer ( well, he passed away before it was published so Gabriela
Bijovsky completed it) has two of them as Adraa, despite obviously female figure without a club. I even considered publishing it together with some additional new and misattributed city coins, but never got to it. It actually is
Petra, half
denomination of the common
Elagabal foundation coin. It is hard to read because
legend is retrograde and mixed Greek and Latin. It reads PETPA COЛNIA. All coins I have seen seem to be struck by two pairs of dies, one a
bit bigger (like yours) and one smaller and more
barbaric in
style.