Alex isn't necessarily a short form of Alexander, it is also a short form for Alexandra
I was going to complain if Alex is a masculine name...
Alex is one lady why not?! Again?
"woman" = Frau
"lady" = Dame
The difference is the level of formality. That's how it's translated in this course.
انا كنت كتبتها كدا انت مالك اهلك انت