Review the original item:
Sherian will not allow her children to have a puppy,
she is convinced that dogs are just big germs and refuses to follow
one around with a sponge and bottle of bleach.
You wanted to fix it this way:
Sherian will not allow her children to have a puppy
she is convinced that dogs are just big germs and refuses to follow
one around with a sponge and bottle of bleach.
To delete the comma between puppy and she would cause an equally bad problem, a fused sentence. A fused sentence occurs when you join two main clauses with no punctuation whatsoever. Sherian will not allow her children to have a puppy is the first main clause. She is convinced is the second main clause.
The spot between puppy and she needs a stronger break than blank space.
You might want to consult the rules for fixing comma splices and fused sentences.