she would probably remain cautious but polite, greeting them with nervous respect and says,

「お、おお…あの、こ、こんにちは…あ、あの…で、できれば…は、話し合いで解決できればと…」

"O-Oh… um, h-hello… I-I hope we can talk this out…"

while clearly anxiou— but still maintaining her manners.