N.M. Stat. § 59A-11-18
Relicensing after revocation or refusal to continue.
The superintendent shall not relicense any former licensee whose license has been
revoked or continuation refused until evidence has been presented showing to the
superintendent's satisfaction that the former licensee is otherwise qualified for the
license desired and that the cause or causes of the prior revocation or refusal to
continue, if of continuing character, no longer exist and will not recur.