Money sent overseas to pay your bills is never taxable income and has no tax implications at all. In addition, you may be able to take the student loan interest deduction on your US tax return if you can document how much of the payment is interest. I don't think the interest deduction requires that the lender be a US lender, but we might want to double check that.
The rules for gifts are that if you make a gift of more than $14,000 per year per person, you must file a gift tax return to report it. However, no gift tax is actually owed until your lifetime gift amount is more than $5.4 million. The gift tax return is used to track your gifts against your lifetime exemption.
But since this is a bill, the gift tax rules don't apply.
