"Mira que tiene cosa la mujer esta" wouldn't make sense with an accent on either words. If "que" had an accent ("qué"= what/how) it'd mean "look what/how..." and a noun, an adjective or an adverb should be the next word while "tiene" is a verb. If "esta" had an accent, it'd be the verb "estar" which indeed means "to be" but Spanish has two verbs equivalent of "to be" and "estar" in this case wouldn't make sense.

True enough. The only way it would make sense with both words accented is if the word we think is "tiene" has been misheard. If that's the case, then the translation would be "Look at what a _____ thing the woman is!" Hmmm, that makes the most sense to me of any explanation given thus far.

But what Spanish adjective sounds similar to "tiene"?