I am fairly lucky. The wife and I used to do some good backpacking many years ago. She understands the need to get out, away from phones, internet, well, society in general.
I can still hike, even though retired. The wife has knee and foot issues though. For even a tenth mile she uses a cane (an old hiking pole.) She still works, so, I clean up around the house, build boats, furniture, tie flies, etc. When I want to go for a week or so, She will drive me up. But, it was not until the third trip that she got used to it. She looks forward to me being away for a week at a time. I rarely get hurt (this year was an exception with a couple broken ribs. One of few in over 40 years of backpacking.) I called her, let her know I broke a couple ribs, and simply finished another week in the woods, though a bit slower. She was concerned, but not worried. I told her damaged ribs were not dangerous (mostly,)just painful. And, I would meet her on schedule, then proceeded to ask about other things. I have been out for around 5 years, solo. She trusts me to tell her stuff. I ignored the pain, and talked with her for about 5 minutes.
We all take risks out in the woods, or, on a mountain, or, along a trail. The risks are different, not worse, than the wifes when she is at home. Rock Climbing 20-30' up without equipment is dangerous. So is driving back and forth to work. Hiking over talus is "iffy." So is washing dishes in a kitchen. Do not belittle it, but don't get to worried slim odds, either. Slim odds means shiest happened to *someone*. She could get as hurt, at home, as you could get hurt, on the trail.
Once I start planning a trip, I let her decide pretty much when. She has to drive back from the trailhead. Case in point, I wanted to do some canoeing, she said to delay till AFTER Memorial Day weekend...a week delay is not important. Her driving in holiday traffic IS. I took her to her craft shops...material for quilts, some beads for her bead work, etc, a day of driving her around...a minor payback for the trip in advance. She will stop to see our Grandson when she returns. She wants to see her Mother (90+ years old,) too. She gets to order things from NetFlix, knowing I won't watch them (and not feeling guilty about it.) Ask her what she will be doing when you are gone, facilitate her any way you can. And point out the good things she likes about having you gone...you know what they are. Take her to dinner when you get out of the woods. After two or three trips she will not object very strongly. She might like an occasional week end without you around. Give her her own time. Let her decide when to have her friends over. Let her decide to go to some special craft shop she only visits once a year. Or buy some special wine. Or attend some class. Or ... whatever.
A mairage is a partnership. You do things together, you do things as individuals. Do not stifle her. Do not let her stifle you. Rarely are partnerships 50/50 for any length of time. Do not be afraid of contributing a little more, if Solo Backpacking bothers her. Sort'a like when she was pregnant, you have to stroke, buff and polish her. Pregnancy, childrearing last a LONG time(does it ever end?) Solo hiking is very minor, in comparison. She will accept it. A couple trips and she might WANT you to get out more. (As long as she doesn't stand in your doorway with a shotgun when you return, I think you are OK.) Go for it...don't ask her, tell her you will be headed out in a couple weeks. Let her get used to the idea.