Let's play headless, it's fun.
Headless tips: if you are trying to apply pressure with the head and the head is on your side, use raw nom instead of headbutt, if they block it then it will bring the head closer to you and even if they pushblock you have an opportunity to hit the head out of cooldown.
You know they are going to want to punish the head, so make the first move. Don't ever stay at full screen with the head right underneath them, it gives them time to think and press a few buttons. You can't play braindead fortune anymore, as soon as you see the head on the other side of the screen you have to change positions, you don't react to the head being punished, the default assumptions is that they will want to keep the head in hit stun. If they read your aggression and don't instantly punish the head then congrats you can play a few seconds of SDE fortune. Until then though, even if they only have to commit to the head for a second, that's still where there focus is. A huge part of footsies and neutral game is knowing where your opponents focus is, or where its most likely to be. I'm fine sacrificing a little bit of health on the head (its still like 2 resets into death anyway) to know where their eyes are looking at for 1-2 seconds.
Meterless ground throw conversions! Yay! All sorts of headless combo things that are great to have. Learning all these is easier than learning neutral game and having a solid grasp of her technical aspects will give your neutral game some bite.
So the worst position fortune can be in is when the opponent is about to get in your face and they already passed the head, its on the far side of the screen and you can't get it over to you before you are already under pressure, they don't really need to be afraid at this point because we lost invincibility on fiber. How about we figure out what our options are in that situation? I'll list off two things that come to mind. Preemptive fiber to go over them, or pbgc at the end of the blockstring to go over them. Even match up specific options are welcome. Spitball some things, try them out in matches (preferably against decent players). Lets elevate this sub-forum to something more constructive.