Your grandmother's nephew is first cousin to one of your parents and first cousin, once removed, to you. His child is your second cousin, so his grand daughter is your second cousin, once removed.
You are a great uncle or great aunt to your nephew's daughter. She is your great niece (some say grand niece).
Your grandmother's sister is your great aunt and her daughter is your mother's first cousin and your first cousin, once removed.
Your granddaughter and your nephew's daughter are second cousins to each other.
The granddaughter of your grandmother's sister (ie of your great aunt) is your second cousin.
Your grandmother's brother's daughter is your first cousin, once removed.
That would be your cousin once removed.
If she's not your mother, that would make her your Aunt.
go ahead if you want to marry your aunt
Your sisters daygter is your neice!
Your sister's son is her grandson and your great nephew. Some use the term "grand nephew."
If you have no siblings but your daughter has an uncle, he is the brother of your spouse, your brother-in-law.
Your sister's son is her grandson and your great nephew. Some use the term "grand nephew."
If your great great grandmothers were sisters, your common ancestors are your great great great grandparents. That makes you 4th cousins.
Your daughter and your sister's child are first cousins. Your daughter and your sister's grandchild are first cousins, once removed.
Your grandmother's sisters are your Great Aunts.
Your sister is great aunt to your daughter's child. The child is your sisters great nephew (if a boy) or great niece (if a girl).
The relation of the mother;s sister to daughter is niece-aunts.
Yes, along with your grandfathers' sisters, if any.