I recently used my Phial of Fantasia and went female. Problem is I'm stuck with my male name. (No option to change it)

I saw free server transfers are coming out but its only a single transfer. Which means I can't transfer off then transfer back i dont think. Unless it means each transfer is a single transfer and you can do it multiple times.

I've heard that in FFXI you had to transfer servers then back, and there was a 3 month cool down on transferring. I really want to be able to change my name but it also says people with the name first have priority and the other will be prompted to change name.

Does this mean I cant make a toon on a diff server then transfer it here, and it won't give my current toon the option at all to name change? Am I stuck with a male name forever? I really don't want to start over but i'm going to be really disappointed if it's my only choice.