How would you like the eggs?

Literal

Egg [topic-は] how honorifically-do-[question-か].

なさる is the honorific (尊敬語) form of する — the speaker is elevating the listener by dignifying their action. なさいますか is the polite form of なさる. This flips the direction of keigo (humble, elevating by lowering self) to honorific (elevating the listener directly). Both are keigo, but they target different speech-act participants.