An ordinary woman wouldn't be granted a TUE for testosterone replacement therapy originally designed to correct a male deficiency. But a woman who claims to have a special gender identity could get one.
Cal Calamia, a female American distance runner who identifies as "trans non-binary" like Hiltz does and is aroudn the same age, got a TUE from USADA last fall that allows Calamia to take weekly T injections to obtain and retain a serum T level in the normal adult male range.
Although Calamia was born with a normal female endocrine and reproductive system and has always enjoyed excellent physical health, Calamia was able to get a TUE for high-dose testosterone on the grounds that it's "medically necessary, life-saving treatement" due to Calamia's gender identity issues and desire to have a body that reflects Calamia's view of Calamiaself as "nonbinary trans masculine."
Calamia sees the naturally low T levels of female people like Calamiaself and Hiltz as a dire, debilitating health condition comparable to hypogonadism in men with missing, faulty, underdeveloped, diseased or otherwise underfuctioning testes.
However, so far Calamia is only using the TUE to compete in the open, men's and nonbinary category.