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your sentence is perfect, grammatically. Although there are a few things that i would change; starting with quandary and coiffures. Many people tend to talk in a less complicated manner when speaking English so this might even confuse experienced speakers. You could possibly replace quandary with "a sticky situation" or "dilemma." and you could also replace coiffures with "hair-do's" or "hairstyles"

I have a problem with "put". Women are in a quandary when it comes to how to wear their hair. The word "coiffures" is somewhat dated and fails to take into account the various ways hair can be worn without being "styled". People face many decisions in life and the way they wear their hair can be important. I would not express your thought using the word "put". The range of choices exists, and that confuses many and causes some to make poor choices. The good news is that most bad haircuts eventually grow out.

Sounds pretty good to me, but I would make a slight change to rest of your sentence: ."..........there was a wide range of possible coiffures,,,,,,," or "......there were a great many different possible coiffures.........."