On those lines, I think you still want to approach your Sun as a Gemini Sun even though it is in the 8th house. Not to quibble with Osamenor’s excellent and helpful posts, but I want to disagree just slightly with the way s/he worded one point – though in the end I’m sure we actually agree on it. I wouldn’t say you’re Sun takes on a blending of the signs of Gemini and Scorpio, 50/50. I’d say your Sun has the quality of Gemini but is particularly focused on, or expresses itself around, Scorpio-like things. It tends towards Scorpio-like things, but still does so like a Gemini.
I agree with you, Birch Dragon. I don't really agree with modern astrology's way of conflating houses with their rulers, though there are obviously similarities. The houses, in my view, are more like the areas of life where our planets express themselves.
Like, I have a 5th house Sun but I don't consider myself to be "half-Leo", though I may be "Leo-like" in the sense that I am dramatic and expressive. Still, an 8th house or a 12th house Gemini will probably be more quiet, introverted and watery than, like, a 5th house or 3rd house Gemini would be, and it makes sense why the OP would identify with Scorpio-traits.
Gemini and Scorpio are very different signs, almost completely opposite in personality, but the one thing that ties them together is their curiosity (also, their mischievousness, but OP says she's not mischievous). One possible interpretation of this, is that her Gemini curiosity and love of learning might best be expressed around themes of sex/intimacy, psychology or the occult (I've read somewhere that Uranus rules astrology but I honestly feel like it's more of a Plutonian subject).