Botched pap cause infection?

Went in to OBGYN for my first ultrasound and also had my first Pap smear done. They told me the doctor would have a student with her but it ended up just being the student that performed the procedure. She messed it up, it was EXTREMELY painful and couldn’t find my cervix. The doctor then had to come in and do it again. They reused the same tool twice. Now my vagina is itchy, red and irritated. No smell or discharge. Could they have caused an infection? Should I be concerned?