I’d like to offer a contrasting opinion. Your responsibility as a patient is not to dictate the style of treatment but to either (a) trust that what they are doing is necessary and helpful and continue working with them or (b) don’t. Telling them what techniques to use or not use is incorrect in my opinion… Who are you to judge what technique you need or not?
Now a discussion about what happened is appropriate and necessary, but telling the practitioner what to do and what not to do is not the way to continue treatment in my opinion. You are not qualified to make that call and, honestly, it should rarely, if ever, come up no matter how much “experience” the practitioner has.
Most basic pain issues which I’m assuming you had based on the use of UB 40 (or knee problems I suppose), are relatively easy to treat with acupuncture and nearly any fully licensed acupuncturist will be able to help you. There are certainly a range of techniques, however, but I personally find the unnecessarily aggressive techniques tiresome and these ongoing stories of people being hurt from acupuncture entirely unnecessary.
Further, pain that “moves around” is possibly easily explained in cases, but that is not what you are describing. You are describing clear nerve irritation. Did the needle break off, no, - will you be fine, yes with 99.9% certainty. But did the practitioner irritate the nerve through either improper or too aggressive (or both) techniques, yes. Should you leave them and find someone else, that depends somewhat on what you are treating and what your overall comfort with them (as they practice, not how you’d like them to practice).
Again, most practitioners will get decent results with the vast majority of common complaints, the responses only separate a bit with more complicated layered cases where deeper experience and more out of the box thinking is required - things that only come with experience with complicated cases (not just experience in general).
As for how to find an acupuncturist, usually word of mouth is best. Generally speaking if anyone is going to use aggressive techniques they will be Asian - most westerners just don’t use those techniques (some do). Generally Japanese acupuncture will be the lightest techniques, still very effective. My personal preference is to only see people who practice the full gamut of Chinese Medicine (acupuncture, herbs, and particularly tuina - chinese medical massage, cupping, moxa, etc.) - basically a good well rounded practitioner with more touch experience. Practitioners who have a background in massage, professionally, are also quite good.
Either way you will be fine, but just for the clarity of the internet posts I want to state my opinion on this issue as definitively as possible to help others who come across this - as it happens way too often in my opinion. Far too often acupuncture is the last resort of people who get no help from any number of other options - so when it is done poorly or people have a bad experience it bothers me. This is because it simply shouldn’t happen very often if at all in my opinion. Now these issues are experienced by patients less so in the US and even less in the US with licensed acupuncturists, but more often elsewhere and more often elsewhere with practitioners of other styles (chiro, md’s, pt’s, etc.) who are “doing acupuncture”.
I hope you get everything figured out. I’m fairly certain you will find someone that you are both comfortable with and that is helpful for you.