Can an appreciating currency lead to inflation? If a currency, e.g. the rupee (INR), is appreciating against, say, the USD, it possibly means that there is a high demand for the former. India could have net exports, high remittances, increasing FIIs all leading to the appreciation of the INR. Does that not mean a lot of rupees flowing into circulation in the country? Should that not decrease the value of the currency and lead to inflation? Where exactly am I wrong?
You are wrong/vague here:

the rupee (INR), is appreciating against, say, the USD, it possibly
means that there is a high demand for the former.

If the rupee becomes more expensive w.r.t. the dollar, demand for the rupee usually decreases, as Indian exports are now more expensive to pay for when measured in dollars, and hence fewer people seek to convert their dollars to rupees to pay for these exports.