Foxes are territorial , that is why you notice the stink when they mark their territory. If you shoot one fox then you are likely to get several others fighting over the territory. To say that foxes are living in an unnatural environment is rubbish. The countryside is mainly not natural - most has been cleared for farmland and probably provides more food for foxes than the original primeval forest, cause they are very adaptable specie. Towns and cities provide more food than the countryside, that is why they support more foxes/acre than the surrounding countryside.
As for spreading disease to pets, also rubbish. None of the pet cats and dogs be have owned have ever caught anything and we have had foxes always around, they are as normal to have around as blackbirds and sparrows.
We live in a small town. When we got a rabbit I knew I had to get a hutch and run that was predator proof. We are getting chickens in the New year. I have paid for a well built secure chicken shed and they will have access to a moveable electric fence that is designed to be fox proof. If I had them on an allottment then I would use a battery instead of mains power.
If you use a gun on an allottment not only are you likely to be thrown off but you would lose your gun license and be fined.
I wish I had a fox living in my garden - it would help keep the bleeding mice down.