So far as arraigning the daffodils, yes indeed, her religious beliefs are irrelevant. Her arraignments are not icons. A flower arraignment betrays no religious dogma in and of itself.
A flawed rationale. First of all, it isn't the "arraignment" of the daffodils. It's the fact she is being made to sell them to a gay couple, which violates her religious beliefs.
Let's imagine there is a florist working at her bench and all she sees are order slips and cans of flowers in a cooler. One of the orders is for center pieces for the Harrison wedding. She has no clue who the Harrison's are. She makes up fourteen center pieces and rings for the delivery man to take them to the venue.
Let's imagine that speculation is a logical fallacy. If some random person was selling those flowers with no contact with the gay couple whatsoever, perhaps, but in this case, she had been selling flowers to these two for 9 years, assuming they were heterosexuals.
This florist has her own interpretation of Scripture which she believes forbids her from associating with sinners. But she just finished fourteen center pieces for the Harrison wedding.
Fourteen? Then why is she being sued? Earth to you! What is this couple complaining about then?