Her eyes widened. "Jonathan," she cried, "what happened to you?"
The reporting verb, to cry suggests that the speaker spoke instantly and showed deep concern at the same time. If the OP prefers to emphasise the "rush" and speed of her speech, then I would suggest babble
(Oxford Dictionaries)
babble: Utter something rapidly and incoherently
‘Thank goodness you’re all right,’ she babbled
If the OP wants to convey shock, anxiety, and fear; the noun alarm could be used
Her eyes widened in alarm. "Jonathan," she cried, "what happened to you?
Other reporting verbs can be found on CDO and Wiktionary