Or "a/one creamer".
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Not a teacher.
If you were asking for one of those, you would just say "Can I have some creamer, please?" or possibly "Can I have a creamer, please?"
In the US.
I'm not even sure it is quite accurate to say non-dairy. The principal flovouring ingredient in creamer is caseinates. These compounds were first found in cheese. For all I know some caseinates may be made these days from non-dairy ingredients, but in a way they are still a "dairy" ingredient in the sense that they are a flavour found in dairy products.
I once asked a friend(an American) about this when we were at a McDonald's, and that's the reply I got. It's like "a coffee" instead of "a cup of coffee".
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