This one can be done with either character & can also be bypassed. You'll find Black Tiger, an enormous Tarantula, in the caves under the Mansion. Once the fight is underway following a cutscene, you can escape from the room by using your knife to cut the web covering a door on the other side of the room. However if you want the trophy you need to kill the beast, easily done with a high power weapon especially on the easier difficulties.
Remember to keep moving though just like when fighting Yawn, from memory this thing spits venom at you so keep running , turn and fire, rinse & repeat.