Adaptation is a term that is often misunderstood. It is a metaphor or shorthand that can seem misleading
No individual creature adapts to anything. That would be Lamarkianism which was discredited by Darwin 150 years ago but still persists in the thinking of people whoe have not read about evolution.
Cantleave got it spot on earlier when he referred to adaptation of a group or species but I think it has been missed.
When there is a change in the environment individuals who carry genes that have effects on their phenotype that make them better suited for survival and reproduction will pass on those genes more successfully than others. Over generations this results in the favourable mutation becoming ubiquitous in the population.
Sufficient mutations in an isolated population will result in speciation but even that is an arbitrary definition.
The example in the OP is an excellent one. Even a very inefficient enzyme would have given a wolf a huge advantage in metabolising a new food source. Further mutations in future generations would result in increasing fitness through natural selection.