No, most will be gone with your initial rinse. And then any trace will wash off easily when you shower (or wash face with soap).
Consider: We don't add any synthetic perfumes to our products (many are known toxins & allergens). All HCL products are unscented—just the natural plants, flowers, and herbs that are crushed and milled. Hey, they're a zillion times better than the chemical alternatives (many retail brands have warnings about esophagus and lung burn potential if chronically inhaled—Yikes!)