A small percentage (7-10%) of people are allergic to neosporin. I would dump that stuff and see how you get along with just aloe. I never advise neosporin for my clients because or the neomycin ingredient that seems to upset their skin.
Most of my appointments are between and hour and five hours at a time. I am not getting feedback about scabs or prolonged reactions. In the beginning, people tell me about swelling and a few red dots here and there, which are gone withing a couple days to a week. Your electrologist should always get feedback whether they ask you first or you tell them without them asking you.
What kind of “calming lotion” did she use? Did she give detailed written instructions outlining sun exposure, clean hands, clean pillow case, ingredients to use and ingredients not to use? When you walk out of the office, that is when you are responsible for your healing. If you do everything you are advised and you are not looking good by weeks end, then she needs to try other strategies. If you both are doing all you can, then perhaps it is an equipment issue.