What is my great-grandfather’s female cousin to me?
If they are first cousins, then your shared ancestor is your x3 great grandparents who are their grandparents, so 1st cousins 3 times removed
The "removed" part is a count of the generations between you, three, in this instance.
Good answer from Maxi and it wouldn't make any difference it the cousin is male or female.
The Laughing Sandhog
First cousin, four times removed