I agree with Aida and Adelfa. I think your body is telling you that there is something wrong with these shoes. Can you exchange them for another pair of the same thing? Maybe there was a manufacturing error. At least then you will know you did what you could.
I don't know that even a cobbler could help it. I once took a pair of stilettos to a cobbler because they were wobbly. I didn't want to buy them unless he would be able to reduce the wobbling. He said he couldn't. So back they went.
Unfortunately, I don't think high heels in general are made very well these days. High heels should not be wobbly when sitting by themselves on a flat surface. The heel and the sole under the front of the foot should be both flush with the surface and not be rocking around. I have found that of all the heels I have tried on, none of them meet this criterion except for a few pairs of heeled boots. I sometimes decide to return a shoe based on how wobbly it is. I put a new pair on top of my dresser and gently push at it to try to tip it over and see how it responds. If there's lots of rocking, I send it back.
Stilettos that are unstable can actually be pretty dangerous. You could fall or twist your ankle. So if you exchange and the new pair does the same thing, I would recommend returning it.
