Dry the pimentos. Spread them on a double layer of paper towels and press until no more liquid comes out.
In a food processor, combine the butter, mayo, Worcestershire, Rosi’s hot oil (if using) and salt. Pulse a few times and add in the cheese. Process for about 1 minute, scraping down the sides once, until smooth and fluffy.
Add the pimentos and pulse 4 to 5 times, just until they break into small flecks. Taste and add more salt if it needs it.
Remove the butter from the processor and, if not using immediately, store in an airtight container in the fridge. Alternatively, you can shape the butter into a log by spooning it onto a sheet of parchment, rolling it into a 6-inch log and twisting the ends like a candy wrapper. Refrigerate until firm enough to slice.