NATO doesn’t take countries with active border conflicts and for good reason. I am glad that NATO did not take Ukraine then, even if I am open to it once this conflict resolves.
I am generally not sympathetic to Turkey but I think the Cyprus issue is complicated and the former military junta, now Cyprus Republic, has given very few reasons for Turkish Cypriots to trust that they will be safe under its regime.
I also think that Western international institutions are systemically biased in favor of Greece and other more western nations, which is pretty obvious by the disparate response to Greek invasion of Cyprus vs Turkish.
NATO only does things when it benefits the US.