Right, so you think.
But: your bank knows who you are and the recipient's bank knows who they are. Your transfer may have been below the increased attention threshold ($10K to $50K depending on the jurisdictions of both recipients).
Both your accounts are most likely not recent and in good standing.
And so on. I routinely make international wiretransfers as well but I'm under no illusion whatsoever that if I tried to cross an anti-money-laundering or anti-terrorism-financing threshold somewhere that the transfer would be immediately stopped and an investigation would ensue.
Right but presumably the OP had an existing bank account. You can't wire money into thin air. Assuming OP is a regular person with a regular bank account, then further KYC isn't necessary. KYC for every international wire transfer is in fact not true at all, only for the edge case where a person wants to receive money and he has no existing account to transfer it in.