Here’s something to think on: can male writers write female characters convincingly? You can probably bring to mind some really glaring examples, or conversely, some really good ones. Whatever your own thoughts, here are a few articles to read:
http://thehairpin.com/2013/09/when-a-man-writes-a-woman (Ester Bloom writes on The Hairpin.)
http://www.theatlantic.com/sexes/archive/2013/03/the-mixed-results-of-male-authors-writing-female-characters/273641/ (Michele Willens on The Atlantic. The website, not the ocean.)
http://www.blackgate.com/2013/10/23/a-man-writing-female-characters/ (An article by someone called, rather fabulously, John Sprunk.)
And if you really want to tie a knot in your thinking: What about transgender authors successfully writing gendered characters?