If you decide to reject the settlement offer, you'll need to do so in writing. Check out the sample letter below.To properly reject an insurance settlement offer, you must communicate the rejection in writing through a formal demand letter. Unfortunately, I have decided not to accept the position, as it isnt a good fit for me at this time. How do you politely decline a job offer professionally? If you disagree with the offer, you can decline it. However, rejecting a settlement offer isn't as simple as saying, "Sorry, I won't accept it." Considering rejecting an insurance offer? Here's how it can impact your claim. The first thing to know here is that insurance adjusters have the insurance company's interests in mind.