According to the APA:
What is sexual orientation?
Sexual orientation refers to an enduring pattern of emotional, romantic, and/or sexual attractions to men, women, or both sexes. Sexual orientation also refers to a persons sense of identity based on those attractions, related behaviors, and membership in a community of others who share those attractions. Research over several decades has demonstrated that sexual orientation ranges along a continuum, from exclusive attraction to the other sex to exclusive attraction to the same sex. However, sexual orientation is usually discussed in terms of three categories: heterosexual (having emotional, romantic, or sexual attractions to members of the other sex), gay/lesbian (having emotional, romantic, or sexual attractions to members of ones own sex), and bisexual (having emotional, romantic, or sexual attractions to both men and women). This range of behaviors and attractions has been described in various cultures and nations throughout the world. Many cultures use identity labels to describe people who express these attractions. In the United States the most frequent labels are lesbians (women attracted to women), gay men (men attracted to men), and bisexual people (men or women attracted to both sexes). However, some people may use different labels or none at all.
To me asexuality is like atheism is to religion - its the absence of it, not a part of it. The lack of attraction is not the same as an attraction.