Şükriye
Yes. Şükriye derives from the Arabic root shukr (شكر) meaning gratitude; the name is the feminine form used in Turkish transliteration.
The exact proper name Şükriye does not appear in the Quran, but the root shukr (gratitude) is cited repeatedly; thus the name expresses a Quranic virtue.
Yes. It conveys the commendable religious quality of thankfulness and is culturally used among Turkish Muslims without religious objection.
Common pronunciations are shuk-RI-yeh or shuk-REE-ya; Turkish spelling uses Ş to represent the 'sh' sound.
Common transliterations and related forms include Shukriya, Shukria, Sukriye; the male cognate is Şükrü or Shukri.