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Saying 'I'm not yours to lose' was kinda harsh. At least she didn't need to 'yell' at someone who cared about her so much.
Another thing is, she keeps saying "I can take care of myself, don't treat me like blah blah...", but she lets Bigby do all the dirty, dangerous things(examining dead body, visiting dirty bar, chasing the suspect, etc,.)
No I don't think she can handle dangerous situations without Bigby. Why is she so snappy in episode 2?