The daughter of a First Cousin is a First Cousin Once Removed. The daughter of a Second Cousin is a Second Cousin Once Removed The daughter of any kind of cousin Once Removed is the same kind of cousin Twice removed.
Your first cousin's daughter and your daughter are second cousins to each other.
Your second cousins daughter and your daughter are third cousins to each other.
Second Cousin
Your cousin's wife is not related to you or to your daughter - unless your daughter marries their son or your wife is related to your cousin's wife.
Your husband's cousin is not related to you. His/her daughter is not related to you either.
Your second cousin's daughter is your second cousin, once removed.
Your 2nd cousin's daughter is your 2nd cousin once removed.
Third cousin.
If your daughter is also your wife's daughter, your daughter and your wife's first cousin are first cousins, once removed, otherwise they are not related.
Your second cousin's niece is the daughter of your second cousin's brother or sister. Your second cousin's brother or sister is also your second cousin, so this question is the same as "How are you related to the daughter of your second cousin."The daughter of your second cousin is your second cousin, once removed.
Your first cousin's daughter is your first cousin once removed. Your second cousin's daughter is your second cousin once removed. It gets more complicated if you are talking about the daughter of a cousin who is one or more times removed.
Your uncles daughter would be your cousin.
Your uncle's daughter is your first cousin.
Your wife's first cousin's daughter is your wife's first cousin, once removed, but is not related to you.
Your aunt's daughter would be your cousin. If you are related to your aunt by marriage and not blood, then her daughter could be considered your step-cousin.