Kenya is a state but honestly not (fully) a nation.
Kenya lacks the complex combination of psychological, political, & cultural 'goods' necessary to turn it into a nation. Ordinarily, it's difficult to draw the distinction between the two. But in practical outlay & functionality there's a great difference between a nation & state.
Primarily a state consists of 4 building blocks i.e. population, government, sovereignty & territory. Any entity can be deemed a state if it achieves these four systems. This, therefore, means that a state may lack any sense of homogeneity and still remain a vibrant state.