"get between (someone) and (something)" is a phrase that in this context means stop someone from using something. It is almost always used in the context of advising someone not to stop someone doing something.
For example, "Don't get between John and cake" would mean don't try to stop John from eating cake.
In this case, William is saying they shouldn't have press conferences. Abbie loves publicity and this would be hindered by the termination of the press conferences. Tom is saying to William that stopping Abbie from "using" the camera (In this case, he will be filmed by the camera to be in the press conferences) is a mistake. And that, if he must do it, he will need pads and a helmet for protection from Abbie who will try to get to the camera by any means necessary. (This last part may be exaggeration for emphasis or it may be a legitimate warning)