She did inherit much of the mess that culminated in the WIndrush scandal. She stumbled a lot over it though and didn't handle it at all well, often not seeming to know what her own department was doing or what it's policies are.
TM is also very exposed on this. Not least because much of it was a legacy from her own tenure as Home Secretary.
It might make another General Election more likely, but can we really afford the time for that with the deadline for Brexit so much closer this time.
I wasn't a big fan of Amber Rudd, but at least she was a fairly strong remain voice in the cabinet. I'm a bit nervous about which that will now be selected to replace her.