Fair enough - you know what you want to use the camera for! In that case you will need the kit to help you get it.
Unfortunately, long-lens wildlife photography is expensive. If you want a decent long lens then you're looking at between £500 and a grand for a reasonable (but not great) one and that's
second hand. Alternatively, you can get a cheapy one but go into any such purchase with your eyes open and realise you'll probably (and potentially quickly) discover its limitations and want something longer/faster/sharper. Just to put it into context, a top long lens will be between five and ten grand, although you certainly don't need one of those! For us amateurs, you can get 80% of the shot with the reasonable ones mentioned earlier, but you will miss more shots and the typical quality will be lower. A cheapy one will be between £100 and £200, which is within your budget. Just don't expect to keep it for too long...
Put that against portrait or landscape photography: a very good lens for each can be had for between £50 and £100 a piece and you're likely to still be using the lens as a go-to for years to come. That's why I recommended parking long lenses for a bit, but if that's what you want then you will need to bite the bullet!