1) Admirer 2) Adorer 3) Affection seeker 4) Apt rhyme for pursuer 5) Bearer of a dozen roses 6) Beau 7) Beau with roses 8) Courting man 9) Courting one 10) Courting sort 11) Courtship participant 12) Cyrano de Bergerac, famously 13) Gentleman caller 14) He goes to court 15) Lothario 16) One coming a-courting Found on https://www.crosswordclues.com/clue/wooer
Woo'er noun [ Anglo-Saxon wōgere . See Woo , transitive verb ] One who wooes; one who courts or solicits in love; a suitor. 'A thriving wooer .' Gibber. Found on http://www.encyclo.co.uk/webster/W/49