The term "Ottoman Turk" is often used to refer to individuals who lived in the Ottoman Empire, which was a multi-ethnic and multi-religious state that spanned from the late 13th century to the early 20th century. During this time, people of various ethnicities and backgrounds lived within the Ottoman Empire, and not all of them were Turkish.
On the other hand, the term "Turkish Ottoman Turk" can be used to refer specifically to individuals who were ethnically Turkish and lived within the Ottoman Empire. While all Turkish Ottoman Turks were Ottoman Turks, not all Ottoman Turks were necessarily Turkish.
Therefore, some things that may differentiate an Ottoman Turk from a Turkish Ottoman Turk could include:
Ethnicity: Turkish Ottoman Turks were ethnically Turkish, while Ottoman Turks could be of various ethnic backgrounds, including Greek, Armenian, Albanian, Bulgarian, and others.
Language: Turkish Ottoman Turks would likely have spoken Turkish as their primary language, while other Ottoman Turks may have spoken different languages, such as Arabic or Greek.
Culture: While there was certainly overlap in culture between different groups within the Ottoman Empire, Turkish Ottoman Turks may have had their own unique cultural traditions that differed from those of other groups.
Religious affiliation: While the Ottoman Empire was predominantly Muslim, not all Ottoman Turks were necessarily Muslim. Some may have been Christian or Jewish, while Turkish Ottoman Turks were more likely to be Muslim.
It's worth noting that these distinctions are not necessarily absolute and may not apply in all cases, as the Ottoman Empire was a complex and diverse state with many different cultural and ethnic groups living within its borders.