Put the meaning into your own words.

Out of deference to the host, the guests waited to begin.

The chair maintained her composure when several people spoke at once, waiting until she could restate the question in a calm voice. Her manner remained cordial, but she did not allow interruptions to erase a resident's turn. She showed deference to the caretaker's knowledge of the building's booking arrangements while asking him to distinguish established practice from his own preference.