Ashino wrote:My father is Jordanian, and my siblings are younger than me and we are all from the same mother
My grandparents are Cypriot, we are not refugees
My mother left larnaca when she was a baby with my grandmother in the 30s
And I was born abroad
OK - from what you say, it's not a gender issue but a matter of records from pre-1960 which catches you out but not your siblings.
You said the last time you tried was 2004? I don't think the system was computerised then and it could well be a lack of communication somewhere breaking the system down. If your father was Cypriot, the old records were easier. Since it was your mum, name changes and such make it a little harder to track.
You need to reapply now. The Citizens Help centres (preferably in Larnaca if that's where your mum was born) could access the records more readily now and guide you.
You shouldn't need a lawyer but there are people who are much cheaper that can guide you through the process and it shouldn't take more than a few weeks or months if you kept an eye on the process whilst in Cyprus. Trying to do it from abroad could take 6 months or so as I know from others.