Shelley Luther, owner of Salon à la Mode in Dallas, appeared in court after defying a cease-and-desist letter and a restraining order.
The judge said she could avoid jail if she apologised for being selfish, shut the salon and paid a fine.
But Luther refused, saying "feeding my kids is not selfish".
She would only have needed to close the salon until Friday, because the state plans to allow them to reopen then.
Luther was fined $7,000 (£5,652) and warned that she would be fined a further $500 a day from now until Friday if the business continued to remain open.
Judge Eric Moyé told Luther: "The rule of law governs us. People cannot take it upon themselves to determine what they will and will not do."
