Hi Liz,
I was given the patches (7-8 years ago) for chronic pain and I had horrible side effects like you (uncontrollable vomiting and diarrhea, pounding headaches, sweating while also being freezing). I also was not informed of the possible side effects. My side effects started a day or so after first started the patch and once I realized why I was feeling so awful I ripped it off - which was two days later.
It sounds like you were given too high of a dose.
Four years ago I tried the sublingual strips and pills for chronic pain which worked better and without those side effects BUT I was NOT told that using this medication, especially in the sublingual form, could cause dental “problems.”

4-5 months after starting the strips and pills some of back teeth started break when k was chewing something, then pieces of my teeth would just crack off i my mouth while talking. I had no idea what was causing my teeth to crumbled. I stopped taking the pills 1.5 years ago but it was unfortunately too late for my teeth. I had several tooth extractions bc of the decay caused by the highly acidic medication and in rhe midde of last year I was down to 4 teeth and had to get those extracted bc o developed a bone infection.
I’m trying to save for implants by until then I’m in dentures (I’m 42 for reference).

If you decide to try this medication at a lower dose I cannot urge you enough to research how it affects your teeth and gums.