Read what follows too

After the Sodom story, we have Abraham and Sarah arriving to Abimelech, and how Abimelech tried to seduce Sarah, and how God was willing to do to Abimelech and his kingdom what had been done to Sodom before. So:

* It matters little that the manifestation of unguestfriendliness was homosexual in Sodom. A heterosexual manifestation by Abimelech is just as unwanted by God.
* It matters little that you don't know who the guests are. Abimelech justifies himself by saying that he was told Sarah was Abraham's sister, not wife. But that doesn't change what he actually did, which was try to illegitimately seduce her. [A good analogy would be "but she told me she was 18]."
* Importantly, Abimelech immediately rectifies upon knowing who Sarah is. Thus he saves himself and his kingdom. Had the men of Sodom taken Lot's daughters rather than the angels that wouldn't have been a rectification, now would it? And even after the rectification, Abraham, the offended party, has to pray for Abimelech to completely cancel the punishment upon him and his kingdom.

So, the relevance in my mind was that God knew this was forcing Lot into that unthinkable decision of guest or daughters so what kind of God is that?

Actually, no. Lot thinks that up himself. God doesn't command, "offer then thy daughters to the mob" - it's Lot who thinks this may work to save his guests, and this is proven wrong. It may be a misjudgment but is not an order from God.