Define easy! If you have good reason, a couple character references, a decent history of being law abiding, no history of domestic disputes or violence or drug abuse, the Doctor is happy that you aren't depressed or medically unfit for reasons of your mental or physical health, you are prepared to buy a safe, secure it to the fabric of your home, otherwise follow the conditions printed on your shotgun certificate as if laid down by God Almighty and can fork over £80 then yes it's a cinch!
You still aren't hunting deer with it!
Yes, easy. Law abiding citizen, no criminal conviction. No mental issues, no violent or anti social behavior. Friend that provided me with a letter that I was helping with rabbit culls, before I bought a couple of fields with a small patch of forest to enjoy.
I lived in East Sussex in a small village called Mayfield, then in a farmhouse outside Mayfield.
I took rabbit, duck, pheasant and a few Canada Geese with it.
The people with the "problems" you mention would never get a gun permit in Sweden either, thank the Gods.
Good to have a gun safe bolted securely, good for safe keeping passports, jewellery and so on.
In Sweden hunt for deer with a shotgun was legal when I lived there 20 years ago, do not know today.