What you've done sounds correct to me. Money comes into your current account from the tenant, you then transfer this into a deposit account held with your bank, you can mirror this on QuickFile.
When the money comes into the current account you just need to make sure it's tagged to a balance sheet code, not a profit/loss code (which would treat it as income).
You can create a new nominal code under the assets and liabilities header called "Rent Deposits" and tag there.
Disclaimer: I'm not an accountant, so always get a second opinion