This is my stat situation right now:
Accuracy 502
Critical Hit Rate 455
Determination 272
What do you recommend me to do?? D:
I plan to do coil eventually but it's not a priority right now.
So this is the accuracy requirements for everything in the game right now.
Your current accuracy is fine for pretty much anything outside of final coil--if you go into T9 you'll probably miss some in the final phase, but no giant deal, and you're over flank cap for Shiva so.
Your general goal for gear is to meet the accuracy requirement for whatever you're trying to do. Once that's done, assuming everything is the same iLevel, you want to get as much Crit and Det as possible. Extra accuracy is worthless, and skillspeed is pretty much garbage. In general, higher iLevel gear is usually better, but bard itemization in some of the poetics stuff is jacked up--there's a lot of accuracy/skillspeed stuff, so upgrading the poetics shirt to i130 still makes it worse than the old i110 Auroral Tabard in terms of how hard you hit, and much worse than the WoD chest.
You can grab the demon boots for now, but I'd suggest investing poetics in the belt/gloves/choker/ring and using the weekly quest items or hunt items to upgrade.
You can probably also upgrade your weapon--I have no idea what you're using now, but Shiva drops an i110 bow that can be upgraded to i115. The secondaries are garbage (acc/skillspeed again some more), so at i110 Rosenbogen is still probably better, but the weapon damage increase after the i115 upgrade makes up for it.
Realistically though you're probably geared fine for anything you feel like doing up to final coil. If you can bump Crit/Det, go for it, but if not it's not the end of the world. It's worth noting that you can probably casually PF a group for T5 (or if you're on Ultros just ask GAF), and T6-7 can be DF'd easily, 8 can be DF'd with difficulty, 9 will be tougher, but you don't need a massive time investment or static for First and Second coil.