I recommend looking for a teacher who is an expert in teaching students with different methods. Meaning, everyone learns differently. Some people are visual learners and others can simply learn by verbal instruction. When finding a voice teacher, the ideal match will be with someone who can asses they way that you learn, has an excellent ear and someone who is well versed in different musical genres so you understand how to apply your singing technique to any musical genre that interests you.
There are 3 things that every good voice teacher possesses and that is, patience, great communication skills and vocal technique. There are teachers who have 2 out of the 3 but when you find someone with all 3 then you've struck gold. A good voice teacher will also understand that proper breathing technique is the foundation for the voice and until you fully understand it you shouldn't be singing anything. Why, because every time you sing your muscles will begin to remember what you did to produce the sound. If you practice singing without establishing proper breathing technique over time you will actually do more damage to your voice than good. Improper breathing technique can lead to vocal straining, nodules and in some extreme cases vocal chord atrophy.
Ultimately, you should feel comfortable when talking to your voice teacher and asking them anything about singing and how you should practice and your teacher should respond to you with respect and compassion.
I hope that helps!
Best of luck,