It "could" be a problem, but not necessarily with the IRS. When you go to get a loan (such as a mortgage) things are going to look "fishy" to a loan officer. Your tax return has one last name on it. Your W-2's and work records have another last name on it. Has the potential to "raise eyebrows" with questions like, "are you omitting some kind of identity theft?, are you really a legal citizen of this country? If not a citizen, are you here legally?" among other things.
"My W2 will have my maiden name from my work payroll,"
That will raise questions with both the IRS and social security down the road. Particularly when you go to apply for benefits. The first flag that will pop up will be the fraud flag. Be it retirement benefits at retirement age, or disability benefits if needed, before retiring. Medical records and obtaining medical care can post a whole new set of problems that have nothing to do with taxes. Especially if you are insured through your employer. More so if after 2025 the newly elected administration once again "forces" you to have health coverage.
I could keep going here as a lot keeps coming to mind. But I think you get the point.
