I applied to several local rescue centres and was turned down because my husband works in London (leaves at 7am and comes home at 8pm), I work school hours and my daughter is at home all day every day apart from two 2 hour sessions a week. If she is going down the yard she takes the dog with her.In total the dog may possibly be left on it's own for an hour and a half twice a week. Oh and we have a cat!!
When looking at some of the dogs that were available for rehoming there were several who were used to being at home all day whilst the previous owners worked. But they wouldn't rehome to us.
In the end rather than buy a puppy I rehomed privately, lots of questions and chats, as we were a long way from the foster home the woman checked our garden via Google Maps

We gave a donation and he has settled in marvellously - the cat chased him round the garden in the first few days but now they co-habit peaceably, although sometimes the dog sleeps with one eye half open
I agree that there are some dogs that would not be able to cope for long periods of time being left alone. But as previously said how are you supposed to be able to feed and pay the vet if you don't work.
Perhaps they are only happy to rehome to a couple where the wife is a stay at home wife, but what about the shopping etc......