Just got a new 8 week old puppy from a rescue service- she was spayed a week and a half ago- she came with kennel cough, so has been on antibiotics but still coughing a decent amount.

I am just getting little worried about her stitches on her belly- they seem to be protruding through much more at one spot. Is this normal or possibly a sign of infection?
Any help or advice would be greatly appreciated!!

Better let the vet have a look. Likely you were told to keep her clean and dry. Yeah, an 8 week old? Even if you did your best, there still could be a problem.

Thank you for adopting. I hope everything will be OK. Have you checked the sticky, https://www.askmehelpdesk.com/dogs/information-articles-our-dogs-expert-labman-53153.html I am sure you will find the material helpful.