Um...no. Karl Philipp is a Catholic, which means it's going to require dispensation(s), one to marry a Protestant (if she won't convert) and another to marry a relative within forbidden degrees.
Marie Hedwig is his aunt (canonically speaking) and while the papal offices had no issue dispensing for an uncle-niece marriage, for one between aunt-nephew they were fewer and further between (I know of only three - Philippe III of Burgundy to his second wife, Bonne d'Artois (who had married his uncle); Ferrante II of Naples to his half-aunt, Giovanna of Naples (niece of Fernando the Catholic); and José, Prince of Brasil to his aunt, Maria Benedita of Portugal)). I'm not saying that it won't happen, simply that I would suggest another bride - Liselotte, perhaps?