I don't consider myself the best combat pilot, certainly not good enough to compete in the meta-dominated bear pit that is PvP. So I stick to PvE which is a bit more forgiving. Anti-Xeno combat is definitely high level, and after roughly 2400 hours playing Elite I only started dipping my toes into it yesterday.
Despite that however, I would say that the bar to entry has been lowered a little bit, especially with the
recent release of certain modules being sold purely for credits. As a result, I managed to killed my first Glaives and Interceptors today (well technically yesterday, but I haven't slept yet).
This is the ship I used to do my flower-picking in (hopefully that link works, I'm not sure how to share EDSY links).
That said, you will need to spend a little time gathering the necessary modules and perhaps the required materials and commodities to unlock those modules not currently being sold for credits, and while not strictly necessary a bit of engineering will make things easier once you're in the field. I've gone for a cold-running shieldless build with a long-range/thermal vent laser beam, which has enabled me to survive in AXCZs in spite of not quite getting the hang of timing the pulse neutraliser. Apparently my ship is too cold and uninteresting when it gets knocked out.
As for the hyperdictions, your best bet is to enable silent running and pop a heat sink as soon as you hit realspace, then boost away from the Thargoid with flight assist off. Then when your FSD has recovered, go out of silent running and high wake out of there while still boosting. Consider engineering your thrusters to increase your chances. Good luck!