What are you reading? Here are a couple of novels that I've grown quite fond of. Common to all of them are that they are freely (and legally) available online; I am not in any way affiliated with them; and they strongly feature female lead characters.
Worm - An introverted teenage girl with an unconventional superpower, Taylor goes out in costume to find escape from a deeply unhappy and frustrated civilian life. Her first attempt at taking down a supervillain sees her mistaken for one. [...] Taylor faces the dilemma of having to do the wrong things for the right reasons. (Warning: this is longer than LotR and has a wi(l)der array of superpowers than Marvel.)
Ra - Discovered in the 1970s, magic is now a bona fide field of engineering. There's magic in heavy industry and magic in your home. It's what's next after electricity.
Little Brother by Cory Doctorow - In the aftermath of a terrorist attack on the San Francisco–Oakland Bay Bridge and BART system, four teenagers defend themselves against the Department of Homeland Security's attacks on the Bill of Rights. (Note: This is a contemporary analogue to Orwell's 1984.)
NotTheOnlyGamer