character transfer - name

Dear Warmane Support !

I've had the opportunity yesterday. I've taken my character from horde to alliance. I had a male Tauren warrior ( lvl 70 Matolcsy ) and I whant female night elf.
So I made a level 1 character for me and I named Michellewild, then I did the transfer. BUT I thought the character taken over would get the name Michellewild.

/ Matolcsy in my country it is a typical male name /
would I be able to make a free name change ? ( Matolcsy to Michellewild )

Thanks in advance.
A great fan