The phrase "married filing" refers to a type of tax filing status available to married couples. It means that both spouses choose to file their taxes together, combining their income and deductions on one tax return. Full definition
As a resident, you already have a standard deduction (in this case it would be the standard deduction for married filing jointly for the both of you). (money.stackexchange.com)
The alternative is to file as married filing separately. (turbotax.intuit.com)
Beginning in 2018, the standard deduction for married filing jointly rises to $ 24,000. (nerdwallet.com)