A Christian florist who refused to provide flower arrangements for a same-sex wedding on religious grounds won’t get to make her case at the U.S. Supreme Court just yet, after it sent her case back to the lower courts June 25.

Barronelle Stutzman’s religious objections didn’t excuse her refusal to provide a floral arrangement for the same-sex wedding of longtime customer Robert Ingersoll, the Washington Supreme Court held last February, in Washington v. Arlene’s Flowers, Inc.

The current result is exactly what Stutzman wanted from the high court, her attorney, Kristen K.Waggoner, of Alliance Defending Freedom, Scottsdale, Ariz.,...