"Okay, let's go find out what the rules are for that."
The Traceless ID helps a lot with making people classify whatever's going on as "weird esper shit" even though May does mention that Lucy is not technically an esper, and they can open up the healing esper's wing and put people in it for her; it's architected in such a way to make it convenient for a single person with a magical healing ability to access patients at whatever pace is convenient for her with a partner on hand, even if May's role is "native guide" and not "partner". She's specced for injuries, not diseases? What about surgical injuries, is this a good time to get the operating theater arranged for aggressive tumor removal and so on?