The largest study ever undertaken on brain structure shows that there's really no such thing as a male and a female brain. Other studies cited as evidence in relation to a neuro basis for transgender identity also reference this, and only show that there appears to be some structural differences that are not at all necessarily hard-wired differences, often overlapping with same sex attraction, and the only trans specific difference I have seen referenced is just as others have mentioned here, and that is in relation to the part of our brain related to self image, and again aren't necessarily hardwired. And there is no evidence whatsoever that differences in brain structure reflect femininity and masculinity - i.e. gender.
I think that what scientists may find some conclusivity on at some point is that there are people who are more likely to suffer/are more susceptible to sexed body dysphoria, and that is probably linked to other conditions, but what we all know is they aren't gonna find a pink and blue brain.
Anyway here's an excerpt from a 2015 article on the findings of the largest brain study carried out to date:
"Brain scans taken from 1400 people aged between 13 and 85. The team looked for variations in the size of brain regions as well as the connections between them. In total, the group identified 29 brain regions that generally seem to be different sizes in self-identified males and females. These include the hippocampus, which is involved in memory, and the inferior frontal gyrus, which is thought to play a role in risk aversion.
When the group looked at each individual brain scan, however, they found that very few people had all of the brain features they might be expected to have, based on their sex. Across the sample, between 0 and 8 per cent of people had “all-male” or “all-female” brains, depending on the definition. “Most people are in the middle”...this means that, averaged across many people, sex differences in brain structure do exist, but an individual brain is likely to be just that: individual, with a mix of features. “There are not two types of brain".