[@Stern Algorithm] something in your explanation has occurred to me. 

Vedika's abilities are based on her inviolate sense of "self", separating her "self" from "other"s. But, in order for her to then pass on her power to protect someone else, she would then by necessity have to include them as being part of her "self", otherwise her power would repel them. 

So then her sense of "self" isn't totally inviolate.