Strong password or not, there's still the possibility of your account being compromised. Easiest way (with everything, not just SE) is for someone to get access to your email account and just reset your passwords to wherever because 99% of places will send a reset password link, so make sure your email account is just as protected!

But like the above said, just add a security token. Although with security you can never say something is 100% secure, adding a security token makes it pretty much as secure as you're going to get. Someone would need either your emergency removal password for the security token, they'd need your actual token (phone or hardware device) or they'd need your serial numbers/address to be able to convince SE they're you to be able to remove the token from you account via a phone call etc. Unless someone really hates you, that's just not going to happen.