What is the most logical next event?

How to clean pet vomit from carpet
Use paper towels to remove as much of the vomit as possible.
Pick up the bulk of the vomit with a couple of dry, folded paper towels, but take care not to squash the vomit particles down into the carpet.
Clean the carpeted area with cold water.
Fill a spray bottle with cold water, and spray down the carpeted area. Using a towel, start blotting and dabbing the vomit until the chunks and moisture are mostly gone.