The acceptability of the other man continuing his courtship after the woman has accepted a proposal of engagement depends on several factors, including cultural norms, the individuals' feelings and boundaries, and the context of their relationships.
In some cultures or societies, it may be considered acceptable for the other man to continue his courtship until the woman is married, as long as he respects her decision and does not engage in any unethical or harmful behavior. This may be seen as a way of giving the woman the freedom to choose her partner based on her feelings and compatibility.
However, in other cultures and societies, it may be seen as inappropriate or disrespectful for the other man to continue pursuing the woman after she has accepted an engagement proposal. In such cases, it might be expected that he gracefully accepts her decision and moves on, allowing her to focus on her committed relationship.
Ultimately, what is considered acceptable may vary from one situation to another and is subject to the personal beliefs and values of the people involved. It is essential for all parties to communicate openly and honestly about their feelings and intentions to avoid misunderstandings and potential hurt feelings. Respecting each other's boundaries and decisions is crucial in any romantic situation.