I love the name. Cordie looks better to me as a nickname than Cordy, but the sound is alright. I prefer
Cora or
Delia myself. Dellie sounds cute, but I can't get the deli counter out of my head. Thinking of other possible nicknames for which the sounds are present in
Cordelia...
CoriOrlaDella, if the "e" is shortened
Dolly - different order, but the sounds are mostly there