Okay, let's examine this for a moment. There's a question there somewhere, even if you didn't quite ask one. It can be surmised that you are trying to determine whether this is acceptable. We'll go with that.
Your uncle is the brother of one of your parents. Any of his children would be your cousin. While it is social frowned upon to interact intimately with a cousin, there are actually states in the US, many in fact, well 26 states permit marriage of cousins to some degree. And, most of those are in the north and west, not the south. So, depending on where you live, and how far you might want to take a relationship with a cousin, it's probably legally okay, if not socially.
But wait! Your uncle's girlfriend is not related to you in any way, so neither is her daughter. Dating her is no different than dating your neighbor, provided your neighbor isn't your sister, or your cousin in one of those states that frowns upon such relationships.
The only issue you might have is the potential strain it might put on your uncle's relationship. Talk to him and if he greenlights it, there should be not issue. Just be aware that if the relationship with uncle's girlfriend's daughter goes south, you may have to walk on eggshells are family get togethers for awhile.
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