My take is "no". The transfer was not a gift subject to gift tax.
You are taxed as a U.S. person so you follow the rules for U.S. persons. Interspousal transfers are not taxable gifts for U.S. persons.
And since the house is in both of your names, even without considering interspousal transfers, it's just for convenience purposes only. I suspect you and your wife could have wired separate amounts to the escrow agents, but that might incur more bank fees.
