We own, have had no central heating or hot water since Wednesday, and after someone managing to squeeze us in as an emergency callout on Friday, are paying an extortionate amount for a new boiler, which may or may not be picked up and fitted this week.
None of that can speed up the time it takes,( in the same way that your housing association can't wave a magic wand and suddenly source parts and engineers immediately either) so meanwhile we are using extra blankets, boiling kettles and pots full of water, and swapping one halogen heater between bedrooms to take the chill off. Oh and picked up a wee £20 oilfilled radiator from Asda last night for DS's room whilst he's sitting doing classes at his desk.
Shower isn't electric, we don't have the luxury of a hot shower, so you're in a better position than we are 
We had a similar fiasco a number of years ago and it was over three weeks before part could be sourced and replaced, so at the moment we are being positive that it may only be a week or 10 days this time.
heat Oven and then leave door open for a wee while
boil pots of water and then leave lidded on the stovetop - they stay warm for ages and takes the chill out the air.
YABU to be so enraged about the length of time, it really isn't that long! but YANBU to be feeling cold and miserable and needing to have a wee rant.
I'll squeeze up the sofa a bit and you can come under my fleecy blanket.