I wouldn't be comfortable with it
If she wanted to do that, I would go ahead and let her as long as it was just stripping. I can't control what she does. I would advise against it though.
you know what the old saying is?
"Once a stripper, soon a pornstar"
If your longtime (more than a year) girlfriend wanted to become a stripper would you be comfortable with it? Do you think your relationship could survive or would her new career in stripping signal the beginning of the end?