Your relationship would be that of cousins.
Your uncle's daughter is your cousin.
Your uncle's daughter is your cousin
Your daughter is your uncle's grand niece.
Your uncle's daughter is your first cousin.
Since your uncle's sister is your aunt, her daughter would be your cousin, just as your uncle's daughter would be.
Your great uncle's daughter would be your aunt.
You and your first cousin's daughter are first cousins, once removed, to each other.
Your mother's brother is you uncle and your daughter's great uncle. Your daughter is his great niece.
Your Great Uncle.
Your uncle's daughter is your first cousin. In the English language, it does not matter whether the uncle is a maternal uncle or a paternal uncle. All the children of your aunts and uncles are your first cousins.
she would be called your cousin. Maternal uncle's daughter is your cousin.
Your daughter's uncle can be your brother. Her parent who is not your sibling (your brother-in-law or sister-in-law) could also have brothers. They will also be your daughter's uncles, but will not be related to you.