To walk through water or something that impedes progress.
To progress with difficulty
Example: "To wade through a dull book"
To walk through (water or similar impediment); to pass through by wading
Example: "Wading swamps and rivers"
To enter recklessly.
Example: "To wade into a fight or a debate"
Appropriate to wade in.
Example: "The pool is too small for doing laps: it's only a wading pool."
Which wades (usually said of birds).
Example: "Flamingos are wading birds."