What made Avraham worry about Sarah's beauty at this point?
Rashi: Avraham was worried about his wife's beauty, because the Egyptians (sons of Cham) were black and ugly, and were not used to seeing beautiful women.
Seforno: Egypt was known to be a haven of promiscuity. 1
Ramban: Avraham was only worried when they approached the capital, the seat of the king's palace, 2 since it was customary to take beautiful women captive on behalf of the king, and to kill their husbands on some pretext or other.
What would the Egyptians gain through killing Avraham (to avoid transgressing adultery), seeing as murder was just as much forbidden to them?
Rosh, Riva #1, Moshav Zekenim: It is better to transgress murder once, than to transgress adultery on an ongoing basis. 1
Riva #2: The world had already been punished [through a flood] for immorality, but not for murder.
Da'as Zekenim (to 12:11): If they did not kill Avraham, perhaps he would complain to the king.
Peninim mi'Shulchan ha'Gra: If a Choleh must eat meat on Shabbos, if needed, we slaughter for him; we do not tell him to eat Neveilah, for then he transgresses for every k'Zayis (Ran). This is like we find here.