Your country wants there to still be military guarantor of Cyrprus' independence (i.e. the right to militarily jump in if for some batshit stupid reason Greece or the UK decided to re-invade Cyrpus, mainly fear of Greek invasion though).
Greece was like "no way" because that would mean a British and Turkish military presence still on the island (the UK is also a Guarantor.
At least that's my understanding. I assume it's all part of your Sultan Erdogan's plan to resurrect the Ottoman Caliph and slay secularism