THIS. I'm a renter, and I get rejected for dogs all the time because I don't own, and I don't have a garden, but I live next door to an enclosed garden space.
I tried to adopt 11 dogs over the past four years from different rescues, and all rejected me because of this. Yet last year, when I bought my second dog, I was shamed by everyone for buying another dog to be friends with the dog I already own. One of the people who shamed me worked for my local rescue, and I showed her the emails of my rejected applications from HER shelter.
I know why they want to avoid renters because if a renter moves, they're unlikely going to find another home which will allow them to have a dog, so they end up dumping them. I get it, but there should be more nuance to the application and selection process. For example, I've lived in my home for 13 years now, and I would love only to rescue dogs. I live alone, and my dogs are the only family I have. I have cried over so many dogs I didn't get a chance to adopt, but I get shamed for "not adopting". The system is so whacked.