Install a double-keyed deadbolt if you're worried about someone breaking the glass and reaching in to unlock the door from the inside. Double-keyed means that you have a lock cylinder on both sides of the door.
The downside is that if the deadbolt is locked, you still need to have a key to egress in case of emergency. If you leave a spare key in the lock it defeats the purpose, so I've seen people attach a spare key to the door hanging from a piece of string long enough to operate the deadbolt. An intruder wouldn't know to look for a key on the string as long as they didn't have past knowledge of your setup, but you can keep it on a table out of reach too.
The best solution is to have a double-keyed electronic deadbolt, so if you need to exit you can punch a 4 digit code into a digital keypad. Worst case you could just jump out a window if the lock fails.
Another solution is to install security film to the glass, which also gets glued to the wood frame surrounding the glass. This clear film is difficult to cut through, so even though the glass would break it would hold the glass together similar to how security glass with wire in it works.