Sorry, but I just cannot like this article; it's too barren, too meaningless. You here use travel just as it's intended to be used; you can find this same exact story in nearly all places time travel's ever been used. Of course, comparing to outside this site isn't fair, but then if we go 'inside', you can find that, for example, the article that spawned the Temp. Anomalies Dept. (1730) uses it in a much more satisfying way; there's a better mystery because it is actually structured like one. Nearly all other temporal skips out there (And at least all I've read) have done this kind of piece, except much better, because what you have here is a core idea becoming the whole idea. I know it sounds mean, but it almost reads like a mere draft.
If this Dr. Salem works for the Temp Anomaliest Dept, wouldn't it be logical that she assumes exactly what this anomaly is? They work with time travel, how would she nor this Foundation that has this department not see this coming, and even attribute this event to a 'unknown' anomaly. You have all the pieces to your mystery so where's the actual mystery? That it maybe isn't Dr. Salem from the future? Also, about the entity itself: If it bears a resemblance to Dr. Salem, you can probably skip the first line 'Adult human female' or mix them together. Also, you fail to describe the second entity, which by all accounts is also part of this skip, if the Foundation/Dr. Salem do not understand the mystery going on. The fact that the second entity isn't considered essentially proves the idea to us, but that doesn't makes sense in-universe.
Overall, there's an interesting idea here but it does nothing interesting or unique about it. Which, it isn't necessarily bad but execution-wise, it's also lacking. -1