Both the Hopkins # HM41365 and the Curt # C55355 would be correct for your Silhouette.
Both wiring harnesses have the same capacity, preform the same function and would install in the same manner.
I recommend going with the Curt option as we've found the converter in this particular harness to hold up better over time than other options like the Hopkins harness above.
I included a link to the instructions for both harnesses for you to take a look at. view full answer...