What is the ruling on being named "Hadrat" as in "Hadrat Yusuf," and being named foreign names such as "Mehmet" and "Yusaf"?

The default rule for names is permissibility, unless there is evidence prohibiting a specific name. Accordingly, the mentioned names ("Hadra," "Mehmet," "Yousaf") do not contain a meaning that would render them unlawful. The name "Hadra" is a title for someone venerable, and the names "Mehmet" and "Yousaf" are variations of "Muhammad" and "Yusuf" due to foreign influence, and do not imply any corrupt intent. Therefore, these names are permissible, though it is preferable to maintain the correct Arabic pronunciation whenever possible.