Have almost choked on my cereal several times reading this.
I live in Inner London & have done my whole life other than when working away on my year out (not to be confused with a Gap Yah) & then time at uni. Have never encountered a pheasant either bopping about with its feathery friends or strung up outside someone's house. Either would freak me out a bit, the latter would give me the heebiejeebies more. But I'm vegetarian. And have to pretend in my head I am not feeding my cats Dead Things because I have such a ridiculous level of squeamish about meat. They do get superexpensive not when you bulkbuy it as I do though organic stuff though, no battery-farmed entrails for them. But I digress.
Can understand the OP freaking out, especially at early o'clock. Round here the foxes would've helpfully removed it for you while you were still asleep. They've dragged all sorts into our garden for their nightly rave-ups. Never a pheasant, admittedly, but a whole range of crap. On one occasion actual literal crap, in the shape of a dirty nappy.
Would love to know what Operation Trident would make of a report of Voodoo Gang Pheasants. Suppose it'd make a change for them. Don't think the weekend shooting crowd were who they were targeting with their Carrying A Gun Can Get You Into The Coolest Places ad campaign...
My Inner London Brownies once absolutely flummoxed a fenland-born-and-bred Guider-friend who'd come on Pack Holiday with us by being freaked out by a pheasant checking out the Brownie House we were staying in. Apparently also under the impression pheasants were nefarious gangsters, they were worried about it breaking in. And once Dragon had told them it was a pheasant they almost broke her completely by asking "so what's it FOR?" In a similar vein, a couple of years later I was asked, in all seriousness, during a Brownie Meeting, if cows are an endangered species.
I suspect a lot of adults round here wouldn't know a pheasant if it were hung up on their gate, so at least OP knew what it was... (Not that I'd be hoiking my judgeypants over people not knowing. Pheasants are not exactly a concern in this locale...)