Hi @Aimthedame,
Thanks for checking. What is your HireDate column setup?
Below is an example of the setup I used for testing and a couple of records with a HireDate value. In test only Jane should be returned today.

What is your exact URI value, is it like the below?
/_vti_bin/listdata.svc/EmployeeDirectory?$filter=month(HireDate) eq @{int(formatdatetime(utcNow(), 'MM'))} and day(HireDate) eq @{int(formatdatetime(utcNow(), 'dd'))}
I have tried to reproduce your issue in my development environment. It is only returning the Jane list item in my setup without any error and that URI you shared works like expected.
You might want to double check your inputs as well of the HTTP request action. Just to make sure it is compare month with 1 and day with 31 (in case of today's date).
