No. Gifts are not taxed to the recipient, regardless of amount or whether they are from people in or outside the United States. If you make gifts, you need to check on whether you must pay any gift tax (not income tax) and/or whether you have to file a gift tax return, Form 709.
A husband and wife who are required to live apart from each other by the terms of a decree of separate maintenance. Payments under the decree are deductible by the payor and taxable to the payee as alimony.