Under what condition could Agent Allen refuse to show the home to Baily?

The most suitable answer is that Agent Allen could refuse to show the home to Baily if her financial situation makes her an unsuitable buyer for that property. In this scenario, Baily is pre-approved for a $100,000 mortgage and only has $15,000 in assets for a down payment. If the home’s price far exceeds her purchasing power, it may not be in her best interest to show her a property that she cannot afford, or it may even be a violation of the agent's duty to act in the best interest of their client.

Showing properties that are out of a buyer's financial reach can lead to frustration for the buyer and represent a waste of time for both the buyer and the agent. Therefore, if Agent Allen realizes that the financial circumstances could prevent Baily from being a viable candidate for that particular home, it is reasonable for him to refuse to show it. This decision would align with ethical real estate practices, where agents should ensure their clients are looking at properties within their means.