This is a very tailored signature weakness, and it's a thing of beauty. Looking at the two elements, the effect and the discard condition, we get:
The effect: This is a very unusual signature weakness, and it's a little hard to get your head around. Minh likes committing cards. It's pretty much her whole deal, and this card messes that up seriously. She gets to either not commit anything, or commit 3+ cards, which taxes even Minh's prodigious draw. If your luck is bad, you can end up spinning your wheels for a couple of turns, trying to amass enough icons to clear this. Fortunately, as farmstrong points out elsewhere on this page, the card draw that helps Minh draw this weakness also helps her get the cards to clear it. Sadly, as one of the investigators most likely to deck herself, Minh is at somewhat greater than normal risk to draw her signature weakness more than once in a scenario.
The discard condition: One of the most difficult (well, at the very least, finicky) in the game so far. Minh has to commit 6 matching skill icons to a successful test while committing at least 3 cards. First, you need to succeed, so and tests are best. If you are lucky (and prepared), you draw this in upkeep and clear it with a treachery in the Mythos Phase, otherwise, try and Investigate a low-shroud location. Obviously, cards with multiple icons are great, and cards with multiple icons are even better. Minh's ability and Grisly Totem can help boost the total icons, but, since you need 3 cards, they are more insurance than necessity. Other obvious cards are Inquiring Mind, Unexpected Courage, Guts, Perception (2), and, really, anything with at least 2 , , or icons. There are about 30 in alone. The good news is that you will usually be testing 10 vs 3-4, so the chance of clearing this on the first try are good at any difficulty. The bad news is that the exists.
All in all, this is an average signature weakness, a serious speed bump but unlikely to end a scenario.