Preserving Reputations

I just received word of another new feature in Tiny Empires 3000. Unlike the classic game, this one forbids you to change superiors very quickly:



Now, ignoring the cat-calls from the peanut gallery about "what reputation?", the question is, just how long does one have to wait? The player in question here was a Trade Master with 349 ships total, 152 personal. Might one have to wait longer, depending on how many ships were in their fleet?

For the record, this was not from some drama-laden story, it was simply part of a line re-arrangement scheme. It would appear that any line "managers" in the new game will have another factor to calculate in who goes under who!

Followup
The Trade Master in question was able to switch the following morning, perhaps twelve hours or so later.