After I explore my wordpress site I wish to filter the search engine results, namely, I wish to take away the first type of each google listing.

However wordpress returns the written text with all of newlines removed, only a slice of text, in order to not decipher in which the new line is removed.

I attempted overriding the

function wp_trim_excerpt($text)

Function, however the $text passed there already has new lines removed. Can someone point me within the right direction of where/at these times in order to customize the function?

It's removed since the loop.php uses [cde]() for searches and archives automatically. Change it out to the_excerpt or create / make use of your own custom function to come back the search engine results within the format you would like it in.