These SKY routers are very plug compatible, e.g. if you have one, you should just be able to plug it in and it should just work. I know its frustrating, but if you were to post your exchange, someone on the board who lives near you, may offer to loan a spare one for a few days. Also like others you could find a local ebay "buy now" get one from that source.
I am not affiliated to SKY, but could see how this may have happened to you. It does not help apart from an understanding as to the backend processes that are going on. The main issue was the router was not delivered to you 3-5 days before the switchover:
* Order Sky BB
* Sky Order 2 things. a) a router from their HW supplier and b) a separate order to openreach to move the telephone line. Both orders are separate.
* The BB router order should be sent to you around 3-5 days before the activation date.
* On performing a 'is everything ok' check the day before (Wednesday), the sky systems worked out the BB router was not sent. It automatically sends a 2nd (b) order to the HW supplier for delivery. This order would be picked and sent from their warehouse the next day (Thursday), given the time. The SMS was not clear that the replacement router would not get there on time. Its possibly a generic message and the check runs each day.
* Sky have made an assumption in the past not to cancel the (b) line order, so at least that gets done, assuming most, if not all people would have their Router to hand. This was not the case for you
. I assume this is because it may cost a cancel charge and then a new do the work again order charge, or it is too late in the day to cancel the day before. The whole change process may delay a new install by a week or more.
* BT openreach move the line to sky's systems as requested in your local exchange, assuming you would just plug in your sky router, which you do not have. You must have been the first job of the day for the BT person.
* You requested a high speed delivery. Some providers only have specific delivery contracts with carriers, so they actually may not have the ability to send a same day / next day parcel. Remember the original delivery should have been days before. From what you mentioned the order went back in to the normal order cycle, which takes 3-4 days from start to finish (Order d1, Pick d2 , Delivery d3, Delivery d4).
* You asked for a tracking number. Again some providers do not actually get these, or the numbers only become available the next day, once the order/web/carrier systems have talked to each other overnight.
I hope this gives you an understanding as to the type of processes involved.
You can also activate a 7 day, cooling off process and go some where else, which I used 5-6 years ago for other reasons.
Best of Luck.