I'm seeing the answers in this thread going in a different direction from the OP's question 
The question was about priorities, and that's something that everyone has to answer for herself.
In everyone's life, there are certain things: cardio (maybe more than one sport), strength, work, family, friends, "me" time, and health (think overtraining, buying prepared meals or ingredients, and/or sleep deprivation). If you want to increase one of those, you have to decrease one or more of the others. If you want to maintain your strength training program while increasing your cycling mileage, one of the other things has to suffer.
I also don't have the upper body strength that I did when I was doing heavy gym workouts. Right now I'm more oriented toward being out in the sunshine, cycling and running. I've actually lost body fat this way, which is typical for me.
Sure the veins on my biceps don't pop as much as they used to, and yeah I miss that, but I'm enjoying the cycling and I'm comfortable with the way I've arranged my priorities, for me, right now.
Speed comes from what you put behind you. - Judi Ketteler