He caught the Hydra on his way to Gaya. She was throwing up blood because of the backlash of the clash between Michael's fist and the golden barrier. Fortunately, she had her APD filled with a 90% pure healing potion to heal her organs immediately. Otherwise, she would have suffered more than just coughing up blood.
"Impressed now?" Michael wrapped his arm around her shoulder with a gentle smile on his face. He himself never expected his power to reach the Core Strengthening stage in his complete Lucifer form. Apparently, after activating the cloud of darkness and the eyes of darkness, he could fight head to head with a Core Strengthening stage warrior and even defeat them.