Thanks for writing in.
Pus discharge from the erupting tooth is common.
This is due to tearing of gums to facilitate for eruption of toothbuds.
I would advice you not to irritate the gums with your fingers as it can result septic.
These discharge is part of normal tooth eruption
If symptoms become aggressive,please do visit your dentist
your child's gums using clean fingers.
Keep your gum pads clean after every feed.
I wish your baby good health.