The correct answer is: D. Damages for liability incurred which is not absolute.
An indemnity holder is a person who is entitled to be indemnified by another person for any losses or damages that they may incur as a result of a particular event. The indemnity holder is not entitled to damages for liability incurred which is not absolute, meaning that they are not entitled to damages if they are only partly liable for the losses or damages.
For example, if a person is injured in a car accident and they sue the other driver, the injured person may be awarded damages for their medical expenses, lost wages, and pain and suffering. However, if the injured person was also partly at fault for the accident, they may only be awarded a portion of the damages that they are seeking.
In this case, the injured person would not be entitled to damages for liability incurred which is not absolute, meaning that they would not be entitled to damages for the portion of the losses or damages that they were responsible for.
The other options are incorrect because they all describe things that an indemnity holder is entitled to.
Option A is incorrect because an indemnity holder is entitled to all damages which they may be compelled to pay in any suit in respect of any matter to which the promise applies.
Option B is incorrect because an indemnity holder is entitled to all costs that they may be compelled to bear in defending any such suit.
Option C is incorrect because an indemnity holder is entitled to all sums that they may have paid under the terms of any compromise of such suit.