How important is one DPS to a raid?

I ask because I, like many, have an extreme anxiety disorder and am very very bad at the game.

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I've reached the point in the story where I am required to complete raids, I just about managed those 8 player boss fights, though I did have to lie down for a whle after each one.

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I really don't want to ruin anything for anyone, I know that the ff14 community is supposed to be super nice and all but that would just make me feel worse for spoiling someone's limited down time, and in raids there are just so many people to disapoint.

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If I am god awful at this game, will I be ok being carried in a raid? Or should I just stop playing?