Domino's tried to claim that their due process rights were being violated since there is no federally-mandated standard for accessibility. But the ADA is clear: businesses have a legal requirement to ensure that disabled customers have "full and equal enjoyment" of their goods and services. Domino's made the tenuous argument that the lack of a specific standard meant that they didn't receive fair notice.
Robles, the plaintiff, argued that the appropriate standard to apply was WCAG 2.0. Instead of offering a different possible standard (which would have been a defensible legal rationale), Domino's position was basically, "fuck off".
It's really not hard to make your websites accessible at a basic level. Follow the standards. Make sure your content and markup are reasonably semantic. Use standard form components for data entry. Where more complex, visual-first designs are employed, make sure there are text-based fallbacks.
If you are a professional software developer, doing this is not just your legal responsibility, it's your moral responsibility.