Yeah, sensitive system is almost a gimme for awakened characters, which would leave 5 BP left to take in negative flaws. And there are lots of possibilities - mild/uncommon allergy (silver, etc. - which would fit an awakened character), sensitive neural structure, nano-intolerance, etc.
Be sure your GM is okay with sensitive system, though. To me, it is a viable flaw - it makes getting cyberware (but not bioware) costlier, Essence-wise, thus laterally limiting your character. Some GMs really don't like this quality for some reason, though (even though one of the archetypes has it).