Adilet

Pronounced ah-DEE-let (in Russian and Kyrgyz. This name is almost never given to girls in Kyrgyzstan. You'll also find (Kyrgyz) bearers on social media to be male. [noted -ed]

This name isn't French, so I doubt it's pronounced that way.
Going off of the Cyrillic, this name is pronounced something like "A-dee-let".

According to the people at www.howtopronounce.com/french/Adilet it seems to be pronounced Add-ill-ay or Add-ih-lay (however you want to think of it). I don't know about the accuracy, but I like it and think it looks and sounds pretty.