Although more information is needed to adequately address this very general question, a few points can be made. I am going to make the assumption that you are talking about physical damage to your vehicle, with no injury. If you are asking about dealing with the person who will physically inspect your vehicle, they or someone on their behalf should first contact you, to set up an inspection at your convenience. This is really an 'appraiser' of the damages although they may also possess claim settlement authority to settle your claim on-site, in certain non-injury situations.
If you are talking about a typical inside claim adjuster, expect a call from them, asking you to provide the details of the accident. After assessing the facts, the adjuster's job is to make you whole for your loss, depending upon the liability circumstances involved.
In both instances, you should expect to be treated with respect whether you are the policyholder or the person whose vehicle was damaged by another party. If you are not pleased with the process, tell the appraiser or adjuster so and then ask to speak to their superior.
Hope this helps somewhat but a lot more information is needed to really help you.
If you are talking about a typical inside claim adjuster, expect a call from them, asking you to provide the details of the accident. After assessing the facts, the adjuster's job is to make you whole for your loss, depending upon the liability circumstances involved.
In both instances, you should expect to be treated with respect whether you are the policyholder or the person whose vehicle was damaged by another party. If you are not pleased with the process, tell the appraiser or adjuster so and then ask to speak to their superior.
Hope this helps somewhat but a lot more information is needed to really help you.