Even when I was in London I found the lack of external stimulus - especially the lack of other adults to talk to - really hard.
I didn't respond by getting anxious, but I found it hard to get the things done I was supposed.
The GP may be able to help if your anxiety is causing you problems, but I from the way you describe it this is to do with not liking feeling so isolated, I suspect throwing yourself into social activities will help more.
Getting a job may be the best step, since that sounds like it's part of your longer term plan anyway. If applying for jobs at home during the day is difficult, do you have a laptop you could take to a cafe for an hour or two? Or could you apply in the evenings when your DP is back?
Putting on the radio/TV, inviting people round for coffee, video calling a friend in a similar situation while you both get on with things at home like the housework are also tricks you could try.
People tend to underestimate how long it takes to settle into a new area, especially when you don't have something external directing your time and introducing you to people. It can be really disorientating, so try and cut yourself some slack. It's to be expected to some extent. While extreme anxiety isn't normal, feeling a bit untethered and finding self motivation hard is very normally indeed.