Women are emotional creatures, at least according to the thinking of Problem Sleuth's time; as such PS and the Pickle Inspector's female counterparts are each prone to particular emotional states which can hinder and sometimes help their progress. These states can also be helped and hindered through the use of certain items, which might necessitate the swapping of items between the women.
Hysteria[]
The Hysterical Dame's hysteria spikes when she is put in proximity to bladed
weapons, making her a potential danger to those around her, and making it difficult for her to think straight long enough to engage in puzzle solving. Thankfully - or perhaps inconveniently - a knife that duals as a teddy bear can be a handy soothe for hysteria; a less effective but less dangerous strategy might also be screaming into a pillow.
The apparent link between chainsaws and hysteria is briefly alluded to
in Homestuck.
Nerves[]
The Nervous Broad's nerves are triggered by stressful situations such as societal beauty expectations and the threatening male gaze: the nerves gauge is also very easy to fill, the entire meter consisting of only three pips. Like hysteria, high nerves debilitate NB's ability to freely engage in adventuring, but they can be soothed easily be putting NB in situations she enjoys, such as observing her collection of Fancy Santas.
Also like hysteria, a teddy bear can be a good remedy for a nervous state; in contrast to hysteria, however, nerves also have technical applications. A filled nerves gauge, or the use of nerves-based communal attacks like Nervous Breakdown - in which NB uses a teddy bear not just to console herself but “console everyone down with [her]” - can result in the awarding of worry points, which further allow the unlocking of Nervetechs. NB's only known Nervetech is Case of the Vapors, which seemingly culminates in the flamethrower/paint stripper-fueled Comb Rave HIGHLY FLAMMABLE CASE OF THE VAPORS.