Alright, gonna be a skeptic.
We're seeing an Israeli news source followed by an IDF statement with IDF evidence, so a conflict of interest does exist with these sources, though that doesn't mean either is lying. That being said, if Israel did deliberately target a hospital in Gaza with as many eyes on Gaza as there are, that'd be a really fucking stupid move. At the same time, If they did, lying and completely fabricating everything is in their highest interest. At minimum, though, I think that any trustworthiness one would associate with journalists or military Intel be thrown out, and the evidence be viewed with skepticism
There is also some oppositely damning evidence in circulation. GeoConfirmed apparently did their own locating of where the video occurred, and - if accurate - from the videos perspective, the missile was moving northwest, from the direction of Israel. They are also A third party in this, though, so their bias is not immediately determinable from this one tweet, nor can the factuality be easily confirmed.
We're still in the fog of war, and simultaneously a war for our minds and support is being waged. I am going to wait for more information from more parties to arrive.
EDIT: I previously stated the tweet I linked claimed the missile was moving north east, which it doesn't - that's my misphrasing. The tweet I linked specifically repeats the falling shrapnel story - though the evidence they show shows the camera looking southeast, with the missile coming from said direction towards the camera. I've rewritten it to be more clear.