Very scared after helping my wife apply for jobs on indeed

So I was helping my wife apply for jobs tonight, she is unemployed. I am employed and love my job. We are currently work from home status at my job. Well I was on indeed not realizing that I logged in. I applied for a job for her and uploaded her resume, not realizing that while I was submitting my wife's resume to them, it submitted my full name on the profile. Now this job is in the same industry as mine, but not the same company.

What do you think are the chances they call my current employer? Is anyone familiar with what information from my profile indeed shares with the prospective employers? Would you preemptively let your employer know of the error and notify them you are not actively looking for another job?

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