You have a subsidiary in the United States — congratulations, you're now subject to U.S. jurisdiction.
Thanks for confirming.
Under U.S. legal code, if you have a company, parent company, or subsidiary operating within the United States, then — at least in part — your entire corporate structure, including the parent and all subsidiaries, can fall under U.S. jurisdiction.
To put it in very simple terms: it doesn't matter where your home office is. What matters is that you’re, metaphorically speaking, infected with the “U.S. virus.” If you had any sense at all, you wouldn’t have come here in the first place.