Answer: Disenfranchised grief
Explanation:
Disenfranchised grief is process of mourning for a person who an individual has lost in closed and non-social environment.Expressing grief in front of public or openly is not sanctioned in this type of grief.
Society and people tend to deprives the mourners from showing grief through not valuing the relationship between the individual and deceased, requirement of grief and sadness etc.They tend to make the process of grief complicated and invaluable.
According to the question,Suzanne's family is eliminating presence of Billie during illness and after the death of Suzanne and thus making the process of grief complicated and difficult for Billie.Thus, Billie has to experience disenfranchised grief.
