Classicly

Routledge's Manual of Etiquette is a manual of Etiquette written by George Routledge, a British publisher, the founder of the publishing house Routledge.

To introduce persons who are mutually unknown is to undertake a serious responsibility, and to certify to each the respectability of the other. Never undertake this responsibility without in the first place asking yourself whether the persons are likely to be agreeable to each other; nor, in the second place, without ascertaining whether it will be acceptable to both parties to become acquainted.

Always introduce the gentleman to the lady—never the lady to the gentleman. The chivalry of etiquette assumes that the lady is invariably the superior in right of her sex, and that the gentleman is honoured in the introduction. This rule is to be observed even when the social rank of the gentleman is higher than that of the lady.