She is poor now.

Yes, possibly. It depends who says it and in what context. In parts of the UK, the word 'poorly' is used as an adjective ( the same as 'friendly' - we shouldn't automatically assume that the 'ly' suffix denotes an adverb). It means 'unwell' , 'ill', or (in AE) 'sick'. So, in an informal context, it is possible to say "She is poorly now" to mean that "She is unwell now". If you hear a native speaker say this, especially an older person from the UK, it's probably correct. But bear in mind that this is a non-standard/regional usage, and you shouldn't use it outside the context in which you heard it.

It depends what you mean. If you mean, she has no money "She is poor now" If you mean she is sick "She is poorly now"

Is the adverb "poorly" wrong here?