She implied absolute support, but then proceeded to equivocate.
to speak in a manner that does not clearly express an opinion or decision — typically in an attempt to satisfy people who want different things or to avoid making a commitment
Word Mastery: In the field of logic, equivocation is a fallacy resulting from use of ambiguous language in an incompatible manner; e.g.:
1. Odd things arouse suspicion.
2. Seven is an odd number.
3. Therefore people are suspicious of the number, seven.