Is there anyone who can not use a progesterone iud (mirena)?

Yes: No: pregnant, breastfeeding, current uterine/cervical infection, liver disease, allergy to iud, current breast ca, some women with uterine anomalies (abnormally shaped uterus). Yes: adult women, teenagers, women who've not yet given birth, women with history of ectopic pregnancy, or history of pelvic inflammatory disease or sexually transmitted disease. Even some postmenopausal women.

Infection & Anomaly: We generally do not recommend the use of iuds for women who are having any undiagnosed bleeding, that can mask a cancer, any active pregnancy, any allergy or intolerance to levonorgestrel, or any condition where a IUD would not be expected to fit in the uterus, like an anomaly such as a bicornuate uterus.