Here is another truth: the most effective tactics to create social change are not necessarily the easiest to sustain. If you can't sustain being mild and approachable and patient while people ask the most frustrating, repetitive questions...
that is a sign that you need a break, or that you need to consider devoting yourself to a different kind of trying to do good in the world for a while, or that you need to rest. You do not have to be a teacher at all times. This is good, I say (as a teacher) because being a teacher takes work and skill and hard emotional control, especially when you are trying to teach people about something that you care very intensely about. Teaching is skilled labor, but it is always labor.
Speaking as someone who has done that work on the marginalization end as well as on the animal welfare end, on the science literacy end, on a lot of things I'm very earnest about: you have to set limits on education, and you have to be extremely clear with yourself about what is teaching work and what is self-protection from things that make your soul ache. When you're teaching, starting from a non-confrontational place and encouraging people to view you as a trustworthy, safe figure who won't judge them is absolutely crucial when it comes to establishing the basic safety necessary to consider changing our beliefs. The moment you make it an Us Vs Them fight, you lose the game. Doing it the hard way takes time and it takes effort and patience, and not everyone is suited to that work and no one is suited to it all the time.
When you're trying to just keep the space from punching you in the soul on a deep bruise one more time, though, you have other goals. You don't act from the desire to change the hearts and minds of the people you're talking to; you're acting from a desire to just get that crappy thing away from me. And sometimes we can orchestrate that within our social spaces, depending on who is watching and what our relative positions are, and sometimes we can't.
The danger, the riptide that will drag you under, is calling yourself a teacher when you are acting like someone trying to preserve the comfort of a community for yourself and other people like you. That second goal isn't necessarily a bad one to have! Sometimes we all have to engage in that kind of social behavior, because everyone needs a space in which they can feel safe to relax sometimes, even if that is a space that only a few kinds of people are allowed to come into. But lying to yourself that this kind of behavior is teaching, and that you are engaging in a higher form of moral wossname by doing so--when you don't have the bandwidth to do that properly--that can really get you into trouble. First, it can get you into trouble by encouraging you to frame picking certain fights as a public service rather than an act of survival, which can cause you to overweight the possible successes of starting a conflict and underweight the possible consequences. Second, it lets you frame behavior that can be really quite bad for the overall project of changing minds in the general public as effective activism, even to yourself, which leads you to forget that activist initiatives should be measured in terms of efficacy rather than in terms of how they make you feel at the end.
Now, I've seen the scars from people who always focus on efficacy over being able to feel safe and to rest. I have those scars. People with the best intentions and the highest moral goals have thrown one another into a meat grinder of yearning for a better world that way. I'm not saying you always have to drop everything and be a teacher.
I'm just saying that you should keep your tactics distinct, your short term goals clear in your mind, and above all else, figure out where you can find a place to rest.