I thought Trudeau quit?
We don't have a real equivalent in the states to compare it to, but to my understanding:
Trudeau was facing something similar to a recall vote. he was likely going to lose this, this would have also cost his party seats in their parliament.
Instead Trudeau "stepped down" to avoid the vote.
however the way Canada's laws are written, there is no good way to back fill someone who "steps down". it was originally something the Brits would have done, but once Canada broke free they didn't rewrite their rules too much.
so now the way it works is that when someone "steps down" they remain in office until someone new is selected, by the Prime Minister.
So Trudeau would be choosing his own replacement.
There is supposed to be someone else who can choose the replacement, but that spot is currently empty too, and that role is filled by the active Prime Minister.
but Trudeau stepped down so there is no active Prime Minister.
Trudeau just cut out the process of the recall vote and will effectively remain in power, as well as his party so no "impeachment" either, until the next real election. which is in March, so it didn't buy him a ton of time. but apparently there are outcomes in the next election that still leave Trudeau in power far longer than he should be.
I don't really understand a lot of the finer points, and the way it all works is so different from the US its difficult for me to grasp because I work best making comparisons.