Are the buccal swabs to detect RNA from a pathogen/bacteria or from the infected animal? The kit has specific protocols for what to do differently for samples from bacteria vs animal cells.

I am guessing you will want to soak the swab in the first buffer solution (the one with the beta-mercaptoethanol) and spin down to try and get the cells off of the swab. Or if the swabs are in a liquid "RNA later" solution, spin them in that solution and use the resulting pellet as the starting material.