Answer: (D) Yes, because the boater was privileged to enter the owner's property to save her boat.
Explanation: Boaters are generally privileged to enter another person's property to save their boat in an emergency situation, such as when caught in a sudden storm and reasonably fearing that the boat would capsize. In this scenario, the boater had the right to tie her boat to the pier in order to prevent it from being lost at sea. The owner's actions in untying the boat and pushing it away from the pier, despite the boater's protest, may be considered a violation of the boater's right to save her property.
The fact that the pier was marked with "NO TRESPASSING" signs and that the boater offered to pay the owner for the use of the pier would not necessarily prevent the boater from recovering the value of the boat. The boater's right to save her property in an emergency situation would likely take precedence over the owner's property rights in this scenario.
It's worth mentioning that the outcome of a legal case depends on the specific circumstances and laws of the jurisdiction where the incident occurred. It would be advisable to consult with an attorney specialized in maritime and property law to better analyze the case and predict the outcome of the suit.