The typical theistic world view may very well agree with the language usage of "non-random" to describe any natural process. Random implies that it is not specifically ordered, which would be contrary to the theistic world view. From a theistic perspective, that type of language would probably be OK in everyday language, if one understands it as "seemingly random", but nevertheless determined deliberately by God. In reality then, nothing is ultimately random.
In topics that refer to actual life production (and not merely the physical environment circumstances "facilitating" it), such as the ToE, concepts and constructs are significantly more loaded with meanings and ontological biases. However, I also generally prefer to use the term "God" when referencing the source of the life-giving and nurturing forces within nature, whereas atheists may commonly invoke the goddess "mother nature".