1 month in! Geesh, you are doing well in just deciding to trust! Be patient with yourself. It sounds like you have a woman who loves you amd is willing to do what she can to show you AND carry on with her other relationship. Her giving is wonderful and to be commended, as is yours!
Keep breathing, try and relax, do some things for yourself that you've been meaning to do and wait it out. It could very well be, in no time at all, that you can't wait for her to leave the house so you can get about doing your thing!
My PN is like that. He has created an amazing website on the back of my relationship with Mono (therealizedself.com). Now he LOVES having the time to write... He used to loath my going out.