You DO NOT need all that crap to put on your face. . There is nothing, absolutely NOTHING that you can put on your face to make it heal faster or better, the one thing you might however do is cause contamination of the area by putting that stuff on there. Polysporin, is particularly not recommended.
My primary aftercare step I recommend is to wash the area, multiple times in the 24 hours post electrolysis with plain old water, .No soaps with heavy oils pefume or dyes in it. If absolutely necessary you can use teatree oil or withch hazel as an astringent, however teatree will dry the skin if used continually, so you are better off using it for a day or two, then discontinuing. Diluting the teatree with witchhazel helps some tolerate it better.
There are absolutely no opening that creams oils or anything else can penetrate the skin, there is no possible way for any of it to do anything . /. There are no openings of any kind.
I’m very supportive of Dee’ suggestion of refridgerated Aloe Vera, but be careful, many aloes contain thickeners that can actually be toxic on the skin. The "Fruit of the Earth " brand ( available walmart /walgreens) is by far the worst offender in this regard, . I order all my Aloe from Heathy Planet in large batches, it comes cold filtered with zero added thickeners. , the specific brand I tend toward is Lily of the Desert.
PIH is not affected by sin bleaches, and I see zero evidence of hyperpigmentation in your pictures. I would be a bit leary of the electrologists advice in this regard, because if she is undertreating in order to prevent hyperpgmentation ( which as others have pointed out always fades completely) more damage can be done from undertreating than anything PIH could have ( and again, PIH is temporary and always fades completely).