It's a lot of communication to coordinate my hobby of cycling, my volunteering(which is part of my hobby), my children's activities(soccer, volleyball, and equestrian), and my wife's hobby(equestrian).
It's a lot of communication and a lot of balancing. It works because we both want it to work for ourselves and the other spouse.
It's never fun to hear a couple's setup isnt working for one or both people. Hopefully some time spent discussing the issue(s) helps out.
The time you list out as cycling time just isnt a lot. Its especially reasonable when you compare it to golf 2x/week, fishing, etc.
Perhaps finding out what she views as reasonable time spent cycling as well as what she wants you to do in the newly formed free time will help you better understand her side.
Good luck.