From Longman Dictionary of Contemporary Englishincline your headincline your headto bend your neck so that your head is lowered → incline
Examples from the Corpus
incline your head• She saw me looking at her and beckoned me, crooking her finger and inclining her head backwards, indicating the verandah.• Urquhart inclined his head and seemed to listen to the wind.• He inclined his head slightly and tried to see up the stairs.• He listens, and sometimes he inclines his head sympathetically, as if to get a better purchase on what I am saying. 