Potential Walkthrough for "Everything is Permitted:"
The multiple paths available for the assassination of Elder Hendrikson make an interesting exercise. You have several options, both direct and subtle, though I prefer the direct approach. The Ainsari's glide feature will be of great help, and while the selection of weapons is good, this mission is only going to require firepower if that's your style--and if you plan your approach carefully. With a small amount of luck, it's quite easy to get a perfect no-damage playthrough.
Potential Walkthrough:
Loadout: Gattlers and Shrikes
First, cover the distance to Artemis Station as fast as possible. Take care not to approach the AWACs. During your approach, you'll see the Marcus Glaive leaving the area. (This is a good opportunity to find out how your signal gauge works, incidentally.) Scan the comm subsystem of Artemis Station, you need this no matter what happens. Lambda Transports will arrive by the time you've completed this.
Second, move out towards the transports, using the Glide Mode. Point your trajectory so that you'll pass a couple of kilometers "above" the transports and their escort fighters. While you're doing this, a second group (Omega) will arrive. Elder Hendrikson will transmit a message to Admiral Steele. This is your first opportunity to narrow down her location. The signal gauge is sensitive enough to narrow down which group she's in from a few kilometers away, now you can move in a bit closer. Her second message, about a minute later, will allow you to just about specify which transport is hers. Stay within a kilometer of that ship, because her third message a minute later will be enough for confirmation.
Direct Approach: Target the transport's engines and head directly away from it. Gliding backwards, your Shrikes have enough range to be fired from several kilometers away--five is plenty. Move quickly as you won't be noticed for several more seconds. Cancel glide mode and change your trajectory. Best bet, move yourself significantly "up" or "down" relative to the plane of the action and start gliding again--then shut down. If you've done this quickly enough, you'll have just enough time to watch your missiles' impact on the transport.
Give it several seconds to move yourself out of the danger zone. The fighter escort should spread out a bit, searching for you in the areas nearby (but don't be surprised if one or two lurk near the transport.) Now's your time to strike: Change your glide trajectory again, this time aiming to pass near the disabled transport. You have one chance to make this pass, and the Gattler's range makes this a viable option. It will take a few seconds of sustained fire to destroy the transport, after which you should jump immediately.
Outcomes:
Best Case: Transport destroyed, mission successful, no damage.
Likeliest Case: Transport destroyed, mission successful, minor damage sustained from enemy fire (either the transport's self-defense or from escort fighters.)
Worst Case: Transport destroyed, escort fighters make intercept. Possible Mission Failed. It is possible to evade enemy fire and move out of the area, using the shutdown feature again to lose the enemy fighters.
As said, other options exist, but I haven't used them enough to be comfortable writing them up yet.