Final answer:
Egypt likely had various concerns about a diplomatic marriage with a Babylonian king, potentially including religious, economic, or cultural issues. However, historical records do not provide a precise objection or ruse as described in the question's options. Egyptian kings did use marriage as a diplomatic tool, as seen in alliances with kingdoms like Mitanni.
Step-by-step explanation:
The historical context surrounding Egypt's objection to a diplomatic marriage with the Babylonian king is not explicitly detailed in the provided excerpts. However, it is clear that diplomatic marriages were a common practice among ancient kingdoms as a way to secure alliances and peace treaties. In the case of Egyptian relations with other states, such as the Hittite and Mitanni kingdoms, marriages were part of broader political strategies to balance power and prevent conflicts. The Egyptian kings, such as Thutmose IV, engaged in marriages with foreign princesses to reinforce alliances, as in the case with a daughter of the Mitanni king to check the power of the Hittites. While the specific objection of Egypt to a marriage with a Babylonian king isn't noted, it can be inferred that concerns might have included religious differences, economic repercussions, and potential cultural clashes. The kings of Egypt also skillfully used such unions to solidify their control over trade routes and to maintain stability in their sphere of influence, as exemplified during the New Kingdom era.