Yes, they will. I had the same experience in talking to members of Parliament who had concerns. I don't believe it detracts from the bill to add a clear and simple definition for “gender identity” and one that is consistent with Canadian law and international law.
That's what you'll see coming in the amendment—a very simple, very clear definition, very consistent with the existing jurisprudence. I don't believe it detracts from the bill, and if it helps others be more comfortable with it, I think that's a good thing.