Should this be considered a 'hate crime?'?

An athiest is killed by a christian because of a disagreement based on faith/lack of faith.

Why doesn’t the christian suffer the same fate as someone who targets a gay person or a person of colour?

According to Wiki:
‘Hate crimes (also known as bias-motivated crimes) occur when a perpetrator targets a victim because of his or her perceived membership in a certain social group, usually defined by racial group, religion, sexual orientation, disability, class, ethnicity, nationality, age, gender, gender identity, or political affiliation.’