DO NOT BYE ILLUMINATE. She will still see you first. Skye's main strength is she has a lot of burst damage. Pick up Haven to survive her bust easier (and help with other champions).
If Androxus tries to flank and kill you, be careful where you shoot. If he uses Reversal, you can try to shoot behind him and use splash damage to kill him since reversal only takes damage from the front and Androxus can't shoot while in Reversal.
You can encourage him have to get close enough to shoot by using the shield Legendary to block shots and give him room to advance. If he tries to contest you on point then you can use Kinetic Blast to knock him off and use your shield to stay safe.
If the enemy Ash doesn't pick up Resilience or the "Battering Ram" Legendary, then you can punish her for it by saving your hyper beam to knock as out of her ult's safety circle. This will often waste her ult or her movement ability.
You are not CC Immune when you ult. A smart Torvald can use his Hyper Beam to waste your ult. To counter this, consider Picking up Resilience if you can trust your team to help you deal with Torvald and his team.