A lot of places make you commit to 2 years for egg donations (you have to undergo a lot of various testing.)
In addition to that commitment, they usually required you fall between the ages of 21-32, they want you to have at least 2 years of college (preferably a college degree), no mental illnesses, they'd like you to remain a certain BMI while you're a donor, and you have to remain alcohol, drug and nicotine free for that time period. (Not to mention all the estrogen products they give you in preparation for harvesting of the eggs.)
You wouldn't be "disqualified" for being trans, but any anxiety or dysphoria associated with that would be a disqualifying factor.