
Not much of a weakness, to be honest, although at least it messes with Amanda's mechanics. Looking at the two elements, the effect and the discard condition, we get:
The effect: If this is in Amanda's hand at the beginning of the Investigator Phase, she must put it underneath her, making her a poorer Preston. elkeinkrad's suggestions of how to deal with it are pretty solid -- commit it to a test (yours or someone else's) before the beginning of Amanda's turn or overwrite it with Obscure Studies. You can also just power through, doing testless actions or throwing in more icons than usual. There are a few cards that might let you find and discard this, but usually Amanda would prefer to get rid of her Basic Weakness, since it's likely to be harsher than her signature. Once in a while, this weakness will catch you in a very bad place, but, most scenarios, it will be the lightest of speed bumps.
The discard condition: Discard it at the beginning of Amanda's next turn or overwrite it with her signature.
All in all, this is a way below average signature weakness.