The anther wall is composed of four layers that protect and nourish the developing pollen. From outermost to innermost, these are:
1. Epidermis: The outermost protective layer.
2. Endothecium: Located beneath the epidermis, it has fibrous thickenings and aids in anther dehiscence.
3. Middle layer(s): Typically one to three layers between the endothecium and tapetum, offering support and potentially storing food.
4. Tapetum: The innermost layer, directly surrounding the sporogenous tissue (microspore mother cells and developing microspores). The tapetum is specialized for providing nutrition to the developing microspores, supplying them with essential substances like enzymes and storage materials. Its cells are often multinucleate and rich in cytoplasm.
Therefore, the tapetum is the innermost layer fulfilling the described functions.
Final Answer: \(\boxed{D}\)