Loneliness in a relationship as I think my gf has schizoid personality dissorder

Ok so I moved from Cheshire to be closer to my gf, I moved my job my children everything to be closer to her and so that we can spend more time together. The thing is I believe she has schizoid personality disorder. We can see each other for maybe one day a week or 2 at the max then sometimes it's more. For instance I had not seen her for 2 weeks then I say " let's meet up for a date" she agrees but more often than not I go to her as my children well young men are old enough to be alone. Ok so we go on this date and she's over the moon to see me and we have a fantastic night.

The next day each time I hug her she starts to push me away and can't even cope with my talking to her. Then that evening I was to stay over and all of a sudden she's out of bed sat in the kitchen and asks if she can take me home as her head is screaming out to be alone, even though we hadn't seen each other for 2 weeks.

So I say (still in my pyjamas) ok let's go and I'm trying to hide my hurt. But then as we arrive at my home she changes her mind and wants to be with me for the night, the next day she has work so up she goes. Now I have been off work sick with anxiety and stress but I'm back in a couple of days and she's taken the week off. Our shifts will mean I won't see her very much so we should be taking advantage of this time but no she retreats to her room as she shares a flat with her parents. Now I don't know when I'm going to see her again but I'm so desperately lonely and sick and tired of going to bed and waking up on my own. Plus it's impacting on my anxiety.

She always comes up with excuses but I don't know how much loneliness I can put up with and I feel like I'm being pushed into an affair I don't want just to ease the loneliness. She will even send me weblinks on how she snd other people preger to kiss their pet than their significant other, she can quite often sjut herself away she isnt very social and struggles socially and interacting with others when I'm quite the opposite. She will discuss our living together in the future but always backtracks. Even when it comes tp our buying a caravan she will turn around and adk her dad to go away with her and never makes reference to me.

I'm trying to go it alone more with getting out for walks etc but boy it hurts. I do say to her and what about me but there isnt much from her. When we lay in bed together she will say "let's stay like this for ever" but then comes the comment about taking me home

So advice please from anyone who knows anything about schizoid in relationships