Just going by the film (and deleted scenes), I see Leia’s role as someone who has significant (but not majority) support in the Senate, but who had to create the Resistance practically by herself.

The idea I’m going for here is that Leia and the Senate have worked together on the Resistance, but her demanding the Republic take action against the First Order would be the one thing that the Republic has gone to great lengths to avoid. I agree though that the wording could still be better, to make it so that Leia has more agency.