Can you be sent out of a store for swearing?

Today, I was at CVS pharmacy and I overheard an older woman talking with a male employee in the photo-development section. She was incredibly mad because she had spent 4 hours cropping her pictures which she had been promised were saved to a CD. However, she had taken the CD home to find those pictures not there.

She took the CD back to CVS and begun to talk to the man. He wasn’t the same person as the woman who had promised her that the cropped images would be on the CD but he was the only person there at the time.

Anyway, out of anger she said “Why are you giving me $#!+ ?” and the man working at CVS got rather upset. He said, “miss, are you aware I can send you out of here for swearing; I can just ask to you leave?”.

Well, my question is: is this true? Is it really legal for him to send her out of the store just for the words that she has said? I would understand if she had said something hurtful such as a racial or deragatory remark. However, crude choice of vocabulary shouldn’t be the deciding factor of one’s right to freely shop in a store.

What exactly does the law say about this?