Inaction is an action. Indecision is a decision.
It's often a terrible idea to write a truly passive protagonist, when it comes to the plot. You can have a characteristically passive protagonist--a character who wants to be the laziest person in the entire world, but feels she can't, because she needs to stop the antagonist. This sort of thing often creates a reluctant hero, where the protagonist hopes to quickly defeat the antagonist to get the status quo back, to return to her ordinary, passive lifestyle.
But when it comes to the plot itself, the protagonist must be an active problem-solver. At least, she should be, if she's going to be a true protagonist. (And if she's not, there is a good chance she isn't the true protagonist, and she's just the viewpoint character of the story.)
With all that said, though, there are times when passivity can work, for a short while, when inaction is an action, and when indecision is a decision.
These moments are certainly exceptions, and not rules.
