Take notice of when an enemy is marked by Corvus, as they will receive healing at any distance any time Corvus heals. Corvus's heal is also more effective when used directly on marked targets, so attack unmarked enemies to force him to shift focus.
Don't neglect Corvus's damage, his weapon has about the highest potential DPS in the support class. If he's focused on fighting you, keep mobile to throw off his tracking.
Unless you're a frontliner, keep your distance from Inara, especially if she appears to be coming after you. While Inara's DPS is relatively low, she can use her abilities to trap you close to her and force you to take her damage.
Try to avoid direct confrontation with Lian. She has a lot of burst damage, two abilities with auto-aim, and her ultimate is essentially an automatic win button for her. Engage with your teammates.