Foster parent
A foster parent was one who acted as a caregiver, without legally adopting the child[source needed].
Bill Potts was brought up by her foster mother, Moira, after her birth mum died in Bill's infancy. (TV: The Pilot)
Gita Chandra assumed that Sarah Jane Smith had started fostering, when she saw baby Sky with her. Gita thought it was wonderful that Sarah Jane was fostering a baby, as she had always been "such a perfect mum" to Luke. (TV: Sky)
According to the Eleventh Doctor, Tenza young could sense exactly what their foster parents wanted, and assimilate accordingly, as George did. (TV: Night Terrors)
Matron Cofelia, of the Five-Straighten Classabindi Nursery Fleet, chose her human alias, "Miss Foster", as a reference to this role, as in fact she was fostering million of Adipose children. (TV: Partners in Crime)