Hi so you are having a bit of a problem with fungus on the sides of your goldfish yes .
Ok we need to know lots about your pond when it was last cleaned of detritus and dead leaves etc , when you last cleaned your filter .
We also need to know all your water perameters Ammonia, Nitrite, Nitrate, Ph please .
Its good that they told you to QT this fish as it shouldnt have been treated in the pond .
Why ?
Well because thats where the cause of the fungus is,fungal infections are funny od things the fungus spreads through your pond by spores released from the fungus .
Fungus is naturally present in any pond or bodies of water.
So to recap we noww know that fungi is a secondary infection cased by damage to the mucus membrane of the fish , the cause could be bad netting and handling a bacterial infection or parasite and is caused by poor water quality , damage through the act of spawning
These fungi do not present a problem in a well maintaiened pond in fact their presence goes a long way to maitaining a well ballanced pond they live on decaying and decomposing matter.
Fungi will only attack damaged areas of skin as such its in reality a secondary infection as it requires the fish for example to be damaged or through parasite damage.
The fungi will attack any areas of skin on the mouth or finnage, stress doesnt help either so we in reality have to go about providing a clean stress free pond that has good water quality and we should keep it at bay in the future .
Have you ever anethatized your fish before because your going to have to sedate the fish then slowly one cotton wool bud at a time remove the fungus treat the area with malatchite green then spray this with propolis which like the oil of cloves can be bought at a health food store or seeing as your a fellow brit order a bottle of Kusuri anesthetic :-
https://www.gardenpondforum.com/articles/the-various-stages-of-anaesthetics.5/
So you need to buy the following a bottle of oil of cloves some cotton buds , a bottle of malachite green and a spray bottle of propolis to seal the wound with .
I can take you through the stages of anesthetic use with fish with this article:-
https://www.gardenpondforum.com/articles/the-various-stages-of-anaesthetics.5/
I'm also going to give you another on good netting tecniques:-
https://www.gardenpondforum.com/articles/how-to-correctly-net-fish.17/
Last but not least an article on the uses of medication Melafix and primafix are basically c**p:-
https://www.gardenpondforum.com/articles/medications-for-use-in-ponds.8/
I hope this sees an end to the fungal problem your fish has plus as a freebee you have lessons about anethatizing fish and the means to do it , a tip , when the fish is well under it will go limp and not respond to you .
You then have five minutes to work on your fish before you either bring it out of the anesthetic or putting it back for a minute or two to prolong the treatment time .
Also if the fungi start to infect the gill casing and gills forget it by that stage you've lost the fish, this is bcause the fungi will also grow internally .
Dave