A transgender woman has won a bid to wipe her conviction over possession of child exploitation material after a court found she did it at a time when she was struggling with her sexual identity.

When the woman, who Brisbane Times has chosen not to name, was just over 18 years old, police executed a search warrant at her house and discovered child exploitation material on her phone.

The woman was caught with 15 child exploitation images on her phone.

"There were a total of 15 images depicting young boys between the age of five years and 16 years posing naked, performing oral sex or engaging in anal intercourse, either with other young people or adults," a Court of Appeal judgement read.

In December 2018, she pleaded guilty to one charge of knowingly possessing child exploitation material and was sentenced to two years’ probation, with a specific requirement that she submit to medical, psychiatric or psychological treatment.