I sense there’s probably deeper issues with this lady, but it certainly doesn’t matter what we can live with. The truth is she has received Jesus who fully accepts her and she is righteous by faith (Rom 4:5) regardless of what others think.
However, the story contrasting Lot and Abraham is a story of two righteous men. Abraham was a victorious righteous man who followed the Lord, and Lot was a defeated righteous man (2 Pet 2:7) who followed the flesh and lost everything including his wife and whose daughters committed incest with him. May have some relevance here.
Going only by what Scripture reveals, Lot is indeed a picture of a weak, fearful, decidedly carnal and even naive Christian who makes carnal choices, judging by the flesh in deciding where to dwell, and is able to actually function as some sort of gatekeeper in a city given to fornication, and is willing to offers his daughters to the men of Sodom lest they abuse the men of God, and is not taken seriously by lost kin when he warns them, and is slow to leave Himself, and whose own wife is carnal. And who is fearful to go where God directs, and soon gets drunk and thus commits incest with his carnal daughters, thus begetting the evil Amorites.
However, Lot was troubled by the iniquity of Sodom, and unlike most Christians today, Lot's daughters were all either married or virgins, and unlike most Christians today he refused to let men of God stay in the street but insisted they stay with him, and refused to let the Sodomites abuse these men of God (it is unlikely he knew they were angels), and naively attempts to bargain and reason with them.
And who is nowhere shown to be in wilful disobedience to the light he has, but prays to God for to choose another place to go to, while his drunkenness was after he lost everything, and Scripture states that unknowingly committed incest with his two faithless daughters.
No, there is not much to commend Lot for as a practically righteousness man of faith, but a primary characteristic of a believer is a unique love for the brethren, which charity is supposed to be "fervent" (which I come much short in), and love covers a multitude of sins. (1 Peter 1:22; 4:8; Ja. 5:20)
But that which beareth thorns and briers is rejected, and is nigh unto cursing; whose end is to be burned. But, beloved, we are persuaded better things of you, and things that accompany salvation, though we thus speak. For God is not unrighteous to forget your work and labour of love, which ye have shewed toward his name, in that ye have ministered to the saints, and do minister. (Hebrews 6:8-10)