You might want to think about getting a Lineage Plasma Cannon or two for the Hawk Air Warrior to make it more formidable. At least replace the Rendor cannon. It's the strongest ship you can buy, so you may as well arm it with a heavier gun.
Diablo and Osiron are impressed with you because you did a bit of damage to Psyke earlier when you fought their guards. They are not friendly with each other, but they're aren't friends with Psyke either. It's not a bad thing to have them on your side. It means they won't be launching attacks on your bases.
As with making it a habit to switch everyone to aggressive, don't forget to always set aimed shots for anyone double wielding toxiguns. The extra accuracy, while not fantastic, still helps.
With the UFO you just assaulted, instead of planting your agents directly opposite the door, it would have been safer to have them off at an angle. Say about where Danielle was. Or, have them directly off the sides. This way, the aliens would have had to physically get outside before they can see you, and they wouldn't get any support fire from behind them. Same strategy from the original games.
Considering the state of your toops, you can afford to let the infiltration stew a little bit until the end of the day to hopefully hire more recruits. The graphs for Superdynamics and Sanctuary Clinic are still low at the moment, so the urgency isn't there yet. They'd have to be at the same level as Psyke is at the moment for it to be a great concern.
If you can't drum up enough troops, you should still go and investigate but instead take a much more defensive and relaxed approach to the missions to tide you over until you can rebuild your team and/or pack shields.
That is to say. kill any aliens that you come across but don't put a lot of effort into hunting the aliens down. Relax, take your time and don't rush the combat. The idea here is to give enough time to the aliens so that most of them can flee from the battle. This will reduce the number of enemies you'll have to fight. You won't get a lot of equipment, but you'll still be able to successfully fend them off this way.
Alternately, go in, kill some aliens, then escape while your team's still rather healthy. Grab any dropped equipment on your way out to make the visit worthwhile. This will stop you from re-investigating the site though.It's a lot better than leaving the infiltration alone. Sort of like visiting and then immediately leaving terror sites in the originals to minimize the damage.
Also, further to taking it easy, you might want to skip any UFOs you shoot down if you've already captured one of them before. Unlike missions in the city, there aren't any horrible consequences to letting these go apart from not getting any of the loot you may have scored from them.
NKF - finally built a gaming PC in 2020 (though not any of that RGB nonsense). Can now play games up to '89!