The Crimson Binome
Hero
Did you forget to mention the entire action which the spellcaster spent, after turning invisible, to actually hide?There was a spellcaster who hit one of the PC's with a charm spell. Well the rogue comes up behind and lands a critical attack that sorely wounds the spellcaster. On her turn I have her go invisible.
Now just a little while ago I described the critical hit has landing a devastating wound and I described it as she was bleeding from a vicious wound. Now the ranger character asked if he could just follow the blood trail and see where the blood was hitting the floor which in turn would reveal where she is.
Remember, invisibility in 5E doesn't prevent anyone from knowing exactly where you are; it just gives you portable cover so you can hide, if you later spend an action to make a Stealth check (with no bonus or advantage from invisibility). Unless you actually spend that action and beat the Passive Perception (and later active attempts) of every opponent, invisibility is just disadvantage to attackers.
How badly did you describe the wound? Is it much worse than any of the other wounds created in this battle? If so - if she's spurting a geyser of blood, as happens sometimes in certain media - then it might warrant granting advantage on Perception checks to find her (or +5 to Passive Perception). If it's anything less dramatic than that, then it's unlikely to be noticeable amidst the chaos, unless you're fighting over fresh snow or something.