Hi there! The tutorial says "press A to make her wait" (she will stop walking), and "press A again to make her follow you" (she will follow you again). Just make her wait, then head on without her. Stepping on the first switch will make a monster drop near the entrance, so you just have to figure out a way to make her follow you as soon you step on the switch. That way you're both already moving and she won't be reached and attacked by the monster behind her. Of course, the extra challenge there will be the ramming obstacles; but then solving puzzles and going through obstacles is the point of the game now, isn't it? ;)
I'm sorry if you're already having a hard time in the tutorial; but good luck! :)