Adult men have high suicide risk, due in large part to loneliness and low self esteem, but no one would suggest that women have an obligation to pretend all men they meet are sexy and desirable. Broadly, culture should not be manipulated by a small cohort holding themselves hostage. Coercive threats like "if you don't give me this job I will shoot myself" or "if you don't affirm Christ is our Savior I have a high chance of suicide btw" (or the third party proxied version like you posted) are not compatible with liberal society.