What is the ruling on praying while sitting due to an allergy to dust in the nose that troubles the worshipper when prostrating on carpet?

The question is vague. However, if the intention is to avoid prostrating and merely gesture due to dust, then know that it is obligatory to enable the organs of prostration to touch the ground, as the Prophet, peace and blessings be upon him, said: "I have been commanded to prostrate on seven bones." Gesturing is not sufficient except for the incapacitated, and dust is not an excuse. One can prostrate on something free of dust. If you mean something else, please clarify.