I'm not familiar with that mod unless it is a precursor to Blue Marble. Most don't play Vanilla anyway except for the GOTMs.
So if I'm seeing this correctly, you are missing the relationship lines between the leaderheads and you are missing Hatty's leaderhead. Am I missing something?
It's possible that that particular mod was bugged out or maybe the versions are incompatible. For example you have the latest version of Vanilla, but that mod version is for something older, or vice versa.
I'm assuming that mod installs into Custom Assets in which case it is always present as opposed to actually loading a mod. If that is the case, all you have to do is delete the Custom Assets folder.
Probably the best way to get there is go to your Civ4 folder>Click on the Custom Assets shortcut>Go up one level>delete Custom Assets folders. Or go to Documents>My Games>Civ4 and delete Custom Assets folder. (Civ4 will generate a new clean Custom Assets folder when you run it again so there is no harm in this)
However, the best thing for you to do is to get BTS if you don't have it. It is the version of Civ4 you should be playing. Install Blue Marble for Graphics and get the BUG mod for UI improvements.