Thank you for your query.
I can understand your dilemma. It is very difficult to tell the exact problem that your daughter is having without having a look at her. The doctor must have observed some bacterial infection which is causing the swelling in the eyelids for which antibiotics have been prescribed. The best course would be to follow it up with a blood test
where the counts would give you an indication whether the infection is bacterial or viral.
I hope I have answered your query to your satisfaction.
Wishing your daughter an early recovery.