For years it was a little vague - first team AA was stated but no specification as to which list. Then sometime in the last 8-10 years Geno was asked and he specifically named WBCA first team. Since that is a 10 member first team and the other major ones are 5 person, it generally doesn't matter, but ...
It is interesting because a NPOY, NDPOY, Lieberman, or now any of the five position awards would seem to be pretty exceptional qualifications but Uconn is sticking with AA. Some time in the distant future when Uconn is not the dominant power, they may change the criteria to keep recognizing outstanding players, but not now.
I do not believe there is a published criteria.