Right so I had something almost identical about three years ago now, just outside Matlock. Hovering, completely still, no sound at all - that was what got me. Any plane or drone makes noise, especially at night when everything else is quiet. This thing was just sat there above the treeline for what felt like ages then gone in literally a second. No gradual movement, just gone.
What colour was the light you saw? Mine was a sort of amber/orange, not the usual red and white you'd expect from aircraft. That detail stuck with me more than anything.
The "can't stop thinking about it" feeling is real and I think thats actually important. People who see something mundane don't obsess over it like that. Your brain is telling you something was genuinely off about what you witnessed. Don't let anyone dismiss it as a drone or chinese lantern without at least hearing the full details first, because those explanations only work if you stretch them pretty far.
Would love to hear more specifics if you're up for sharing them.