...
Also let's say that you connect your Trezor to a computer that's infected with a RAT or something, is Trezor immune to any problems your computer might have? you have to put a pass in the mytrezor thing too.. what if they steal that data?
I don't know how Trezor work and affected it or not, but I saw in the news warning about "Trojan.Coinbitclip"
The Trojan then monitors the compromised computer for Bitcoin addresses copied to the clipboard.
The Trojan contains a hardcoded list of Bitcoin addresses.
Once the Trojan detects a Bitcoin address in the clipboard, it replaces it with one from the hardcoded list.
The Trojan selects an address from the list that most closely resembles the address it is replacing.
https://www.symantec.com/security_response/writeup.jsp?docid=2016-020216-4204-99&tabid=2But it's very low level risk.