[Hypothetical] Atatürk keeps the constitutional monarchy. A famous woman (singer/actress) from your country gets married to a Turkish prince (Şehzade) and becomes a Sultana. How scandalous would this be in your country? Could this woman visit her country without getting protested?

Maybe if equality before the law came a century earlier. But the sultans spent a considerable amount of time in between 1830 and 1908 trying to reform without a constitution, let alone one with equal rights. 1876 one could have maybe averted 1878 disaster if it had been a serious attempt, its formal abolishment gave Russia the excuse to intervene. Also easy to forget the later it was, the less could local Ottoman governors care. Land was sold or leased to zionists in Palestine with Ottoman consent 1880s to 1914 (and Parthenon marbles sold to Elgin in 1820s). It seemed local governors were more insterstwd in corruption and a nice mansion in Istanbul. All that said, even if the Ottoman state was at core neccesarily unequal, as a caliphate, modern ethnic nation state is also terribly suited to demographic reality of the Balkans and ME. No wonder Armenian genocide was the ultimate result of Ottomans trying to be more European.