In the future I'm planning to create a desktop app, that might be the perfect solution if you really don't want your data to leave your computer.
Meanwhile, I can promise you that I will never share your data with anyone. I'm not using extra sophisticated encryption or anything like that (that would be an overkill for a writing app), but I'm using Atlas [1] to store your data (they're really good and competent database as a service provider), and on my end I've made sure that nobody can read what you wrote without your password.
There's no such thing as flawless security I suppose, but I'm trying to follow the best practices, so unless you're writing a short story about your social security number falling in love with your credit card pin code, or a novelization of NSA's deepest darkest secrets, I wouldn't worry too much about this =)