ציטירנדיקער פּירוש אויף בראשית 18:11

ויזרח לו השמש AND THE SUN SHONE UPON HIM— This is the expression that people use: “When we reached such-and-such a place the dawn broke upon us”. This is its literal sense. But the Midrash says that לו means, “for his needs” — to heal his lameness. Thus, too, you read in Scripture a similar metaphor (Malachi 3:20) “the sun of righteousness with healing in its wings”. The hours that it had set before its time for his sake when he left Beer-Sheba (cp. Genesis 18:11) it now rose before its time for his sake (Sanhedrin 75b).

ותאמר...כי דרך נשים לי, she referred to menstruation. The Torah elsewhere described this as אורח הנשים, when describing Sarah as no longer experiencing these cycles (Genesis 18,11).