Sick after Tdap vaccine?

I got the Tdap shot at my 28w appointment, and literally less than 24h later I came down with flu like and cold like symptoms.

Runny nose, cough, fatigue, nausea.

I know the actual vaccine doesn’t cause illness, but did anyone have these reactions after getting it while pregnant? I don’t have a fever so I don’t think it’s an actual infection?

It’s either that or a huge coincidence I caught a virus At the same time?

Also side note, a cold during pregnancy doesn’t affect baby right? 😅