Sharon is a teen aged vampire, that was given archonship because of her protégé. She had some protection from here Nos friends, that seems to be gone and, I think, the whole archonship is at least two shoe number to big for her. So, she first need to learn what actually means to be an Archon, before she even can dream to secure her position.
Also she can lean on her protégé (and his wits and "friend" in power), so she have some luxury to actually not need to be able to secure her position from all the other snakes in the pit. Since some very old vampire backs her little toy boy and with that, as an extension, her to a little bit.