Here is the "before" pic....

yup>>you should be fine

This year I was busy and my wife cut some of ours back as you have done, and as they should be done. Those that did not get cut this year, and those that did are now all grown out. Comparing the difference, those that were not cut, if you look down into them you can see the dead grass from last year, and the plant is slightly larger than those that were cut. Next year they are going to be a mess to cut, but they are tolerable for this season. Al

I have nearly 2 dozen Carex clumps in various beds. Each year early in the growing season they all get haircuts--down by 2/3 generally. All my plants currently have those odd-looking flowers on them but they disappear on their own in a few (couple?) weeks.

I don't grow Carex for the flowers--just the foliage. Other than its annual spring haircut, it requires absolutely no care whatsoever.

The Carex is planted along the edge of the bed on the right in this photo
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Just FYI--all the plants growing in my garden are divisions of the original "mother" plant.

brilliant job ...

ken

There isn't a problem with what you did, but the "cat tail" things were the flowers. I usually cut mine back a bit earlier since I kind of like the flowers and I can do the removal of dead foliage while it's too early to do anything else in the garden (as long as the soil isn't soggy.)