you did not read this right at all.
I wonder why?
Yes, I also wonder why you'd take that to mean it caused cancer.
The thing you quoted doesn't indicate anything about it causing cancer. It says people with a certain medical condition shouldn't take it. Hormones can influence how fast certain cells get replicated, and it's important to not encourage cancer cells to replicate even more.
You can't do that and then turn around take drugs that mess with your hormones and expect everything to be totally fine without even a single conversation with a physician.
The cancer warning in this post strikes me as the usual "do not take X if you're taking Y" warning they do in drug ads on TV in the US. Like when they used to show ads for SSRIs, they usually had a "Do not take $DrugName if you are already taking a MAOI"
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7156851/
This is dangerous. While it gives people more access to contraceptives, someone should absolutely see a doctor first before beginning hormone therapy.