Recovery is important. There are a lot of ways to build recovery in to your program.

You can do intervals during your ride - pop up to a higher speed for a short time - then recover at your regular cruising speed.
One endurance sports trainer I've read advocates doing 80% of your training at an easy aerobic pace (one indicator of this - you can talk normally) - and the other 20% in intervals at a higher level of effort. There are arguments about exactly how to accomplish this, but you can try intervals such as 1 or 2 minutes at a near max effort then recovering at an easy pace for 4-6 minutes. As your fitness builds, you can do longer intervals at the higher effort, or shorten your recovery times, or raise the bar higher on your "high effort" intervals.

Also as noted you can't push yourself every day. Take some days off cycling do do another kind of exercise, or just have an "easy day" of cycling where you don't push your pace at all.

In my bike/swim/run group, they also have "recovery week" every third week, where we cut volume by about 20-30% and don't do any higher intensity intervals - it's all "easy aerobic."