Absolutely not! In every case; with every insurance company; the choice of which shop repairs your vehicle is yours and yours alone to make. Certainly most insurance companies have shops that give them financial considerations or other incentives to have work directed to them. Some insurance representatives can be a little pushy if you resist their directions, but once you state the shop of your choice, industry ethics require him to drop the subject and accommodate your request. If he persists, remind him of that ethic and stand your ground.