I need an adverb to show both surprise and fear. Can we use shockingly or worriedly? For example,
He asked shockingly.
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I'd say "no," on shockingly, as it implies that he asked rudely.
And there is no inherent "surprise" in worriedly.
For both "surprise and fear" my first thought is startlingly. I like alarmingly, too.
I've been reading The Wonderful Wizard of Oz recently and though I can't think of anything off the top of my head, it is definitely a study in adverbs of the type you seek, with a story that is many moments of surprise and fear.
Also: more context would help a lot.