Accepted dream meaning is explained below using 2 different sources. Each interpretation is shown with its source.

Interpretation 1 — Gustavus Hindman Miller

For a business man to dream that his proposition has been accepted, foretells that he will succeed in making a trade, which heretofore looked as if it would prove a failure.

For a lover to dream that he has been accepted by his sweetheart, denotes that he will happily wed the object of his own and others’ admiration.

If this dream has been occasioned by overanxiety and weakness, the contrary may be expected.

The elementary influences often play pranks upon weak and credulous minds by lying, and deceptive utterances. Therefore the dreamer should live a pure life, fortified by a strong will, thus controlling his destiny by expelling from it involuntary intrusions.

Source: Ten Thousand Dream Interpretation • Author: Gustavus Hindman Miller

Interpretation 2 — Internet Archive - Anonymous

To dream that you have been accepted by your lover, or if a woman, that your lover has proposed to you and that you have accepted him, is generally considered a dream of contrary.

It is a warning that your love affairs will not prosper, or at least that it will be a long time coming right. In some localities, however, it is looked upon as a fortunate omen.

Source: Mystic Dream Book • Author: Internet Archive - Anonymous