A. The social services division of the human services department [health care authority department] may make payments to adoptive parents or to medical vendors on behalf of a child placed for adoption by the division or by an agency when the division determines that:

(1)     the child is difficult to place; and

(2)     the adoptive family is capable of providing the permanent family relationship needed by the child in all respects, except that the needs of the child are beyond the economic resources and ability of the family.

B. As used in Sections 32A-5-43 through 32A-5-45 N.M. Stat. Ann., a “difficult to place child” means a child who has a mental, physical or emotional disability or who is in special circumstances by virtue of age, sibling relationship or racial background.