I don't know if I can take the loneliness of being apart from her.
I'm 5 months into a trial separation that my wife asked for to support her healing and yes, I can appreciate how lonely you think it's going to be.
But guess what? The time to worry first about your feelings is long gone. If you want any shot at R, all you need to focus on today is what your BS needs to heal, to feel safe, to get solid ground below her feet, ANYTHING she needs is what matters now.
And guess what? It IS lonely but it's a once in a life opportunity to work on you. To self reflect, to be alone with yourself and really have a think about what and why you did what you did. That should be augmented with IC and reading and maybe, just maybe, you'll come out of the trial separation with a wife who might consider trying to rebuild with you.
Good luck. Leaving your house at the request of your spouse is the darkest moment but these are the consequences of the our actions...