I agree with having sufficient fire tinder. I live in the PNW with an abundance of wood and rain. During the wet and cold season I always carry wet fire, cotton balls with vaseline and some fat wood. And I do carry at least 3 different ways to ignite a fire which includes a one handed method if injured. All that plus Doug's kit as another option.

One other thing to consider is always having a sturdy knife with you to shave some wood up to get the fire going. I also have some aluminum foil in my fire kit to make a little holder for the tender to shove up under the dry wood.

Probably the most important thing in getting a fire going in wet conditions is gathering and preparing the wood beforehand. Igniting the tinder is the easy part--getting a hot fire going can take some nursing it along.