I rarely run across others named Fahmeena or Fahmi, which is what my family and friends call me. I once saw a guy with the name Fahmi on Facebook. I was very surprised! I do not believe his name is short for Fahmeena. Some other time, I saw a post by a Fahmeena from Pakistan. She did not speak English very well. Today, I noticed the name Fahmy in a post. I read that a wealthy aristocrat from Egypt was named Ali Kamel Fahmy Bey. How interesting!
I sometimes wonder whether I should use the name Fahmi at work and in formal communications. I have never used the name Fahmi formally.
Fahmeena looks difficult or complicated but it is really a simple name - it is easy to pronounce. A guy I worked with once told me the name Fahmeena is popular in Bangladesh. I guess I should believe him.