I think there is a gross overestimation of the support that is available. I've seen a lot of bad articles copying and pasting different parts of immigration policy and programs but without understanding how it works as a whole.
Like, Canada has a website about helping LGBTQI+ refugees ( https://www.canada.ca/en/immigration-refugees-citizenship/services/refugees/about-refugee-system/2slgbtqi-plus.html ) and it includes partnerships with groups like Rainbow Railroad who can refer people in need of resettlement to the refugee process.
But if you only look at that and fail to consider the safe third country agreement, you're giving false hope.
From a non- paywall article about Hannah Kreager:
I hope she's successful. The Safe Third Country agreement needs to be ended. Until that time, the path to claiming refuge status from the US will be extremely expensive and onerous and not likely to be successful. The canadian government needs to be called out on their hypocrisy and refusal to 'rock the boat' by ending it.