dude your blaming your wife sure is a strong hint that you're in a bad marriage. and it's probably as much your fault as hers, if not more so your fault than hers. if she's mad at you, she has a reason you know.
quit league for a month or longer and go to counseling with your wife. then once you've A) listened to the needs of your wife so you understand WHY she needs you to turn off the game, and B) explained (without yelling) to her the real impact of force-stoping a game on 10 players and C) learned how to more responsibly choose when and how often you can set aside 40+ minutes to play a game of league, only then return to league and I guarantee you'll find yourself with a lot less problems.
and, don't give me grief over your many responsibilities. they are your responsibilities, treat them as such. don't complain about your failure to respect the things that you are responsible for doing. it's you who is letting yourself down, not your burden.
and if it REALLY is too much of a burden, get a professional. figure out if a) you need a psychologist to talk things out with and sort out your thoughts and feelings b) need a psychiatrist because you've got anxiety or depression or something that medication will help you with or c) need a financial adviser to help teach you how to manage your income and expenditures. those are all great ways for any human being to reduce the stress in their life. there is no shame in paying someone to share their knowledge with you, and that's what a professional is.