Right, so naturally my first thought reading this is ". Drone" - because it almost always is these days. Half the farmers round here in Cumbria have got them for surveying fields, and at night with the lights on they look genuinely otherworldly if you're not expecting it.
That said, I'm not dismissing you outright, because something clearly rattled you enough to post about it at - what, 2am?
The details matter here. You've mentioned hovering, which is interesting. Was it completely stationary or more of a slow drift? Any sound at all? This is where I wish more people had even basic recording equipment set up. I started doing EVP work a while back and it's made me realise how much you miss without audio capture running. A cheap Zoom H1n pointed out a window overnight would've at least given you something to analyse rather than a memory that's already degrading.
What I'd actually want to know:
Duration - seconds or minutes?, Light behaviour - steady, pulsing, colour changes?, Movement pattern - perfectly still or micro-adjustments?, Weather conditions - low cloud can do absolutely bizarre things with light reflection
The hovering aspect is genuinely the most interesting detail because consumer drones struggle to hold position in any real wind, and they don't do it silently.
Don't let people pile on with the ". Swamp gas". Routine before you've actually laid out the full account. Post everything you remember, as specifically as possible, before the details blur further.