Let us start with the premise that the main root of Nikida is the Greek word/name
Nike, meaning "victory".
The following "variants" of
Nike close to Nikida are registered in the *Lexicon of Greek Personal Names* (
http://www.lgpn.ox.ac.uk):
Male:
Nikides
Nikidas
Female:
Nikis
Nikidion
Nikido
The modern/demotic Greek version Nikis could very well be Nikida, in the same way that Alcestis becomes Alcestida.
It seems tp me you have reinvented/resurrected a very ancient name :)