Yeah, she would have looked like that. It's rather sad actually that the people in charge of model making during the original series didn't seem to think or perhaps even seemed bothered to come up with alternative designs for Starfeet's Starships, cos you do get to see other Starships during the original series, but their all identical to the Enterprise, just a name and registration number change.
Indeed! and the folks in charge of the CGI remasterization were too shy and respectful to add those different extra ships. Damn ecclesiastical trekkies, there should be a spacedock on the original series!