William of Wied won the gig, but several Muslims were also candidates for the Albanian throne, including Fuad (the future kind of Egypt) and Essad Pasha. For all I know, an Ottoman prince may have been on the list as well. https://trove.nla.gov.au/newspaper/article/60052591
The Great Powers were generally looking for a Protestant, though, on the basis that a Protestant would be best suited to rule impartially over Muslims, Orthodox and Catholics.