No. Its hierarchy in the order of exterior elements is trim, not body - so the trim color.

The soffits are alabaster, the fascia is tricorn and the door is stained wood. I do not want the column black. So my question is do I keep the column the same alabaster color as stucco or go with a different white?

Same color as Fascia and Soffits,. That is what Lori means by trim color.

Right, but I read that the soffits should be same color as exterior so that is why I was planning Alabaster, so then my trim is alabaster. So should I use a different white for the column or just stick with alabaster?

I don't have a trim color

Your fascia is trim.

I do not what to paint the column black.

Don't use a different white if it's not going to be present anywhere else on the exterior. I assume this is primed wood at the moment. Have it painted Alabaster and if you end up hating it, it could be repainted. It's not a big surface. Be aware that a stucco surface and a wood post have different reflective qualities, so it's likely they won't look identical.

Thank you! This is exactly what I was planning to do and then second guessed myself!

I would do the soffit and fascia in the same color.

Do not mix whites. Whites fight with one another. Stay with the alabaster.

Paint the column alabaster.