IPA: /nɒnˈhɔːrmənl/
KK: /nɑnˈhɔrmənl/
Not related to hormones or not involving hormones in its function or effect.
Some women prefer nonhormonal methods of birth control for various health reasons.
Nonhormonal → It is formed from "non-" (meaning not) and "hormonal" (from Greek "hormōn", meaning to excite or set in motion). The word "nonhormonal" means not related to or involving hormones.
Think of 'non-' meaning not, and 'hormonal' relating to hormones — so nonhormonal refers to something that does not involve hormones.