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Please do not do any such thing,
You need to apply an OTC antibiotic locally (like bacitracin) and then take her to the doctor as soon as possible, for possible drainage, and prescription antibiotic treatment as needed,
Any 'pus removal' at your end can lead to further complications,
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We are currently in Spain and have Mupirocin Ointment UPS 2%. Would this be better to use on it?
Yes that is certainly a good idea, and it is a good local antibiotic,
please use this and try to consult a local doctor if possible