I see it as a design challenge, where I look for opportunity. Besides, there are a lot of programmers these days that are curious about story in games - this jam (link to entries) we had very story-heavy games, excellent ones, mostly made by programmers.
I'd also recommend looking into how you can make life easier for the rest of the team by learning the tools you'll need to put your writing in. For example, how to use the UI canvas text tools in Unity, or record and edit VO, and add audio if that's your preference. For example, learning Fungus or Ink plugins for branching narrative trees, or how to use a JSON /XML file to get your lines into the game (those are on my 'to learn' list). Because that takes a lot of learning responsibility off the programmers and makes it much more likely your content actually makes it into the game.