Complex sentence: She adopted the two girls and ordered Nâvekyar Kalfa to look after Ayşe and Şevkidide Kalfa to look after Fatma, under the protection of her own high Hazinedar Şemsicemal Kalfa, and changed their names, as palace tradition had it, calling Ayşe Destizer and Fatma Destiper.
Split into simpler sentences: She adopted the two girls and ordered Nâvekyar Kalfa to look after Ayşe and Şevkidide Kalfa to look after Fatma, under the protection of her own high Hazinedar Şemsicemal Kalfa. When Pertevniyal took Ayşe and Fatma she changed their names, as palace tradition had it, calling Ayşe Destizer and Fatma Destiper.