Hello.
Thank you for your query at DoctorSpring.com.
No. You will NOT get an infection.
Frankly, the same thing has happened with me quite a few times, and never any infection, not even a single time.
You need to stop stressing because you had already cleaned the vial at least once. It would have remained uncontaminated even while you re-inserted the needle.
Please stop worrying!
Regards.