I *would* like it, but the meaning, plus the -mona ending ("moan"), turn me off a lot.
Especially the meaning. It's just too nothing-but-negative for me, like
Mallory (another name I might like based on sound if not for the meaning). And
Desdemona seems like it was coined primarily to be extremely pathetic, like
Echo. I feel kind of sorry for people with names like that.
If only it were Desdemana or Desdemora or something else similar, and meant something auspicious, I'd probably like it alright.
- mirfak