Can I get my CT salesperson license if I have a prior conviction?

According to the Connecticut general statutes, Title 46a, Chapter 814c, Section 46a-80, “A person may be denied employment by the state or any of its agencies, or a person may be denied a license, permit, certificate or registration to pursue, practice or engage in an occupation, trade, vocation, profession or business by reason of the prior conviction of a crime if after considering (1) the nature of the crime and its relationship to the job for which the person has applied; (2) information pertaining to the degree of rehabilitation of the convicted person; and (3) the time elapsed since the conviction or release, the state, or any of its agencies determines that the applicant is not suitable for the position of employment sought or the specific occupation, trade, vocation, profession or business for which the license, permit, certificate or registration is sought.”