Dear Dinesh ji,
I did some research on this but couldn't find a generic Tamil name (equivalent to "foldwing") for the genus Dicliptera. In fact most species in the genus lack vernacular names. As you know, the bi-lipped corolla (if "foldwing" refers to this feature) is common in many genera in Acanthaceae. I am not sure of any specific characteristics of this plant that can be used in naming it. Is the plant really stinky?
The more common species, Dicliptera cuneata is called Karunkurundhu கருங்குருந்து or Thaen kurinji தேன் குறிஞ்சி (=sweet / honey Strobilanthes) in Tamil. If the plant D. foetida is notably foetid, then we can probably call it something like "Mudainaari kurundhu" முடைநாறி குருந்து. But, I am not sure if "kurundhu" can be treated as a generic name for Dicliptera as this name is also applied to Atalantia monophylla. "Mudainaari kurinji" முடைநாறி
குறிஞ்சி is another option. But the name kurinji or kurinci, although generally referring to Strobilanthes, is also given to different species from multiple genera (ref. FRLHT database).
Best regards,
Vijayasankar