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Good evening Lydia. I'm sorry to hear about this issue.
It is commonly misunderstood, but with few exceptions the constitutional right to "free speech" actually only apples to restrictions imposed by the government. It says nothing about how individuals can restrict speech on their own private property. So, generally speaking, a salon owner would be perfectly free to impose the sort of rule you describe. You are free to carry on these discussions, just not on the salon owner's property.
If I can clarify anything at all for you, please do not hesitate to ask. It is my pleasure to assist you further if necessary....