A process is provided for dyeing keratinous material. The process includes (1) providing an agent (a) that includes (a1) at least one amino-functionalized silicone polymer and (a2) at least one colorant compound. The process further includes (2) providing an agent (b) that includes (b1) water and (b2) at least one fat component. The method includes (3) preparing an application mixture by mixing agents (a) and (b) and (4) applying the application mixture to the keratinous material. Further, the method includes (5) exposing the application mixture to the keratinous material and (6) rinsing the application mixture with water.