There are a number of anti-discrimination laws.  Not all of them apply to homeowner associations, but the important one that does is the Federal Fair Housing Act.

1. Federal Fair Housing Act (FFHA), 42 U.S.C. §3601 et seq.  Applies to HOAs and requires

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Statutes and Cases:

(For reference: 57-8 is the Condo Act, 57-8a is the Community Association Act, 16-6a is the Nonprofit Act)

New 2021 HOA Laws and What They Mean For Your HOA
Reasonable Accommodations under the Fair Housing Act - Q & A
Reasonable Modifications under the Fair Housing Act - Q & A
Rights and Privileges of an Individual with a Disability. Utah Code Title 62A, Chapter 5b
Summary of Fair Housing Act (Federal)
United States v. Fox Point at Redstone Association, Inc., No. 2:11-cv-01069 (discrimination, assistance animal)