reeking / wreaking are similar-sounding terms with different meanings (referred to as homophones). To better understand the differences, see below for definitions, pronunciation guides, and example sentences using each term. 👇
reeking: (verb) smell badly and offensively. (verb) be wet with sweat or blood, as of one's face. (verb) give off smoke, fumes, warm vapour, steam, etc.. (adjective) wet with secreted or exuded moisture such as sweat or tears. (adjective) giving off a strong unpleasant smell.
wreaking: NA
reeking: r·IY·k·ih·ng
wreaking: r·IY·k·ih·ng
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license. Definitions drawn from WordNet.)