Reply to "would stop OR stopped"

Mr President,

Both are not correct.  The verb "wishes" in the main clause requires a conditional or subjunctive form in the "that" clause:

12d': She wishes (that) it would stop raining!

She is wishing for a situation that is contrary to current fact.

Here are some examples that would make the other choices work:

12a': She hopes (that) it stops raining soon!
12b': She hopes (that) it will stop raining!
12c': She is glad (that) it (has) stopped raining!

I hope this was helpful.