poocha prashanam: the cat question

One rather large, dappled cat has appropriated my bed.

Its a tiny room, and since September is still unreasonably warm we leave the windows open at night. There is a cooler- but it makes such a racket, and needs constant (ok maybe not so constant, but we are lazy) refilling.

Every morning I wake up to find a large and heavy furball at my feet. When I get up it does too, hisses at me and exits through the window. Never through the balcony door, which is also, always open. Why?

Now this cat is a rather wild one, given to hissing and hunting pigeons- which it does with great skill. There are feathers on the landing by mid-morning. It spends much of its time stalking about the corridors after dark, and yowling at the clothes that are hung out to dry. It can't be too clean as I have seen it foraging in the most questionable of areas. It doesn't look ticky. But how can I tell for sure? It arrives after I fall asleep and leaves when I get up. I must stop calling it 'It'. Maybe Orlando- as I have no way of telling whether he is a he or she is a she. Maybe Kiran- also nice and non commital. Maybe Princess Leia- it has delusions of grandeur. Maybe Jabba- as the Hutt is the unwieldy, slobbering, lecherous monster that this sleek, chic hunting machine is not.

What must I do? Should I let it be and thereby leave the window open for all sorts of mysterious cat-borne infections (my imagination runs riot)? Should I cart it, or rather metro and auto it to a vet in Khan Market? I can barely greet it in the day time, having to get it into a basket and be calm would be quite a task. And then the scene at the metro station:
-madam bag check karaiye
-bhaiyya iske andar billi hai. nahin khol sakti