You are probably talking about the past so "I gave my preferences to her" or "I have given my preferences to her". You can also "express" a preference. Maybe also "I gave her my preferred options" Rather than give you could also say I let her know my preferences.

We would usually say, "I prefer her." "Give preference to" is a very complicated and strange-sounding version, although sometimes people use it—however, it should not include a possessive like "my," "his," "her," etc. It is usually used to talk about how someone is biased (e.g., "The Olympics judge gave preference to athletes from his own country").

Are you trying to say you voted for that person? If so, you could say "I prefer her" or "I would choose her" Or did you express your preference for something else TO this woman? In that case, you could say "I gave my preferences to her"