If you're looking for Ship equipment advice:
Weapons:
Shields have resistance to Kinetic and a weakness to Electric and Burning.
Armor has a resistance to Electric and Burning and no resistance to Kinetic.
Missile Turrets are good because they have a low Energy cost and do Kinetic and Burning, making them effective vs both types, and have an Accuracy bonus which stacks (2x Missile Turrets give +20 Accuracy).
You could also have dedicated weapons for Shields and Armor.
Shields:
I'm not sure what the purpose of the Shield Upgrade is. Shield Booster seems strictly superior. I'm pretty sure restoring ~4000 Shields 1x/fight is better than +1000 maximum Shields.
50 Shield Defense (1x Tuned Emitters) is enough to drop Machine Gun damage (Casstech Z7/Corona Lord) down to 1 digit/hit.
Notably, the Corona Lord has two weapons with Accuracy penalties, and the Sidewinder's passive Evasion makes it hard for her to hit.
Armor:
I'm of the opinion if you're taking Armor damage, you're doing something wrong, so I don't have much advice. However, the Sidewinder does have a fixed Heavy Armor module, so Armor Repair might not be a bad idea.
The Shield Disruptor, Shield Vampire, and Capacitor Vampire are Systems checks. Attacker's vs Target's. Evasion does nothing. I'm not sure what the formula is, and maybe it's changed since previously,1 Hardened Systems was enough to almost guarantee Dr. Teyaal's Shield Disruptor would fail, but now it seems more likely to hit.
Unless you intend to look for weaknesses, I don't recommend installing Sensor Suites. Hardened Systems have a higher Systems bonus.