Oh. Well, I'm pretty sure the deadline itself isn't going to budge. They might pass some kind of interim thing continuing previous operations (or whatever the blazes it is they do along those lines... forgot exactly what's involved) for a while, I guess? I could pretty easily see a lot of congresscritters (particularly GOP wards where stagnation on that front, with the consequent degradation in services, is effectively meeting some of their political goals) being pretty cheerful (in a relative sense, depending how many new corpses are generated) about having an excuse to kick the can down the road a ways.
So far as negotiations and whatnot go... eesh. That's probably going to depend a lot on what happens. If trump and/or the GOP is seen as handling the aftermath poorly, gods know what'll happen 'cause I ain't go no clue. If it's middling it probably won't change much. If by some odd turn of events, the response ends up being effective and well managed, well, see the poor situation.
End of the day this kind of thing is seen as pretty fundamental to the gov't's operation, fed and state. Screw it up and things aren't going to be the the most rosy for a while. Do well and you might manage to pull something else off. Trick there being there's only so much the GOP is willing to do that wouldn't be blatantly counterproductive to anything that'll be pulling anyone texaways's arse out the water, so even if it does it's questionable how much it can be leveraged on the conservative side of things.