do you hide or show your flag?

Most likely, the problem is how Stripchat indexes ethnic categories. If you see yourself when searching for the word "Indian", but you don't appear in the "Ethnicity" filter, then:
Your profile is not linked to this category in the site code. You may have selected ethnicity in the settings, but it was not activated as a filter. Check in the profile editor to make sure there is a check mark next to "Indian" in the ethnicity section. Technical indexing bug — sometimes sites need time or manual updates. Write to Stripchat support and explain the situation: "I have Indian ethnicity selected, but I don't appear under the Indian filter, only in search. Please fix my category assignment». Direct search works by keywords in bio or tags, and the filter works by internal categories of the site. So, it's about linking to a category.

Great advice from Eva above! One more thing worth checking — sometimes the ethnicity filter only updates after you go live a few times with the new setting saved. If you recently changed it, give it a few streaming sessions and see if it corrects itself. But if it still does not show up after a week or so, Stripchat support should be able to force-sync it on their end.