to make allowances for something; to take something into account/consideration; to grant privileges to somebody
The cooperative grants privileges to families short of manpower or with old and feeble members
To grant privileges to large families when alloting housing
To reduce a sentence, making allowances for the circumstances in which the offence was perpetrated (for extenuating circumstances)
to condescend; to deign
Thank you for having deigned to come (for the great honour you did me by coming)