Nicknames for Fida?

My husband wants to name our daughter Fida.
It's tradition so I can't argue. I get to name the next one.
I seriously can't stand this name. Can anyone come up with a nickname I can feel more comfortable about? I was thinking FiFi but that's just as terrible and it sounds like a dog's name.
PLEASE HALP ME!
Even if it's not derived from the name but sounds similar? Anything.
Nicknames for Fida?
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