enthralling appeal

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Being drawn into experience (of a person, a phenomenon, a text, etc.) responds to appeal as if being enacted by the appellant, rather than (as if not) by oneself.

It is oneSelf, of course: already receptive to experience of who (or what) evinces response—but one’s not being thrown by the experience (which would be impositional, like surprise, albeit welcomed).

A serenity may precede the drawing or be instilled by it. A play of engagement may be evinced by phenomenality, to be savored, maybe evincing enchantment
or a delicate entrancement.