User blog comment:Kaido King of the Beasts/Chapter 872: The Sweet Escape/@comment-31434191-20170713182853/@comment-31434191-20170714202929

I wouldn't surprised is Sanji's cooking skills come into play, but given the danger of the situation I doubt that will happen (though maybe emplyed in a fute arc since it seems that Big Mom is not going down at the time). Plus, I can't shake the feeling that even then she would still want to kill them for the whole attempted assanation thing, as outside her cravings Big Mom atleast tries to prioritize things.

Also, I don't actually see Big Mom taking her revenge on the SH's loved ones, as that would just make her look petty/weak as she is going after weak people related to the ones hat wronged her, rather than stronger ones that wronged her (espceially when you consider most of the people the StrawHats care about dwell in the weaker seas, plus Big Mom only seems to go after loved ones as a way of coercion and punishment for relativly "minor" things (such as not showing up or attempting  to leave the crew) rather then major things (screwing up big parties and trying to kill her).