Inara's CC immunity skill can help her nullify effects such as Tyra's aoe fire, Willo's Dead Zone and Jenos' Void Grip. It can be used during the effect as an immediate cleanse.
If the enemy Inara is using the Tremors legendary then focusing on destroying her walls when she creates them will significantly decrease its effectiveness. Use the anti deployables item and not anti shield since she deploys a wall not a shield.
Inara's ultimate has a long windup time so before using it make sure to be in a safe spot with enough health to survive bombardmemt. It has an obvious voice line letting the enemies know to focus you so using damage reduction first can help.
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.