Remember, if anyone tries to pull the "blood is thicker than water" half quote, remind them of the full quote: the blood of the covenant is thicker than the water of the womb

The half quote is, obviously, "love your family even if they're shitheels"
The full one is more "you can choose your friends, not your family. Family sucks? Ditch 'em"

There's a fair few quotes out there that are only half the entire quote
And the way they're chopped entirely flips the meaning

Birds of a feather flock together until the cat comes
The half quote is all about friendship and tight ones. Add the missing bit, and it's a warning about fairweather friends
Great minds think alike but fools rarely differ
Just because two or more people have an idea doesn't mean it's good
Somewhere I have a list of several that got chopped

Or ignore context
Like the whole man lies with woman thing, women were considered property, not people, when it was written. Perfectly fine to be gay so long you aren't dehumanizing the other dude
But I think that's too much brain juice for those who use that line

And yet context is the most important part
Their loss

Well in this case it is easy to explain why people get upset or feel hurt. You might say one thing, but the person might understand it differently, so your statement has a different effect than intended. That's a common linguistic phenomenon.