Just got a new pup, had her 2 and a half weeks, I've also got an 18 try old cat.
We made sure cat was in the house when the pup came home, and that the cat got to see the pup in the crate first and then , to be honest, after half an hour it was sort it out between yourselves
The pup chases the cat, the cat batters the dog, the dog backs off
If the dogs getting too boisterous for her, the cat just goes vertically upwards, shelves, furniture etc
Non of established dogs, 3 of them, chase the cat, they're too scared of her, any other cat though is fair game as far as they're concerned
To be honest you'll be watching every minute at first for nothing other than toilet training reason, so you can modify behaviour between them if its getting out if hand, we always worked on the principle that the cat had. Safe area and the pup gets put in its crate or its puppy pen if its getting too excited
Just go for it, there's nothing nicer than seeing a cat and a lurcher curled up in front of the fire
I'd second the food thing though, we feed the cat on the work top in the utility room well out of the way of the dogs, and she has a separate water dish and a bed up there too