I am a little worried I may be too strict............................
Most people that are prepared to have a home check are fine anyway. Once in a while, I have a concern and I will discuss it with Sharon; for example, last winter, I homechecked a lovely old lady who had everything in hand. She had a history of taking in strays over the years so had never needed to adopt. Her last cat had died before she moved to a retirement village. She said being in the countryside, no strays had appeared at her door and she was desperate for feline company. She would be there for it 24/7 and it would want for nothing - She had even sorted out a local vet. My biggest concern was she smoked like a chimney in the house. She even mentioned the smoking, saying she was 85 and wasn't about to give up at any time. Sharon agreed that it wasn't ideal, but at the same time, in a world where there are more cat than good homes, we couldn't afford to be too picky and that not every home is going to be 100/100; although we try our best to get close. As long as they are going to be well fed, kept warm and taken good care of, that is the main thing.
I'm sure it is the same with other rescues where you can voice you concerns and the homing officer can take a view on it.