OP isn't saying they used the same password for transferwise as for their bank. Transferwise allows you to log into your internet banking and authorize a transaction through their site. You actually give them your internet banking password, regardless of how you log into their site.
Which is pretty strange in itself, to trust a 3rd party with your internet banking password, but that's how it works.
Folks should review their banks' policies before doing this.
For example Bank of America won't hold customers liable for fraudulent transfers or bill pay transactions through their website, but sharing your online ID and password seems to void that protection.
> Welp, time to start using a password manager.
FTFY