What would be your plan of action, if you saw someone running a brothel with your mother's name and picture on it? Feeling angry or not depends on if you have eradicated anger. You can do Metta meditation to deal with your anger. But that doesn't mean it is wrong to take action against such establishments, even if they mean no disrespect. There's nothing wrong in peacefully protesting, trying to make them come to their senses or using any legal options available. You don't actually have to get angry while doing it. You are actually doing them a favor since they are committing bad Karma due to their ignorance. Buddhists don't always have to accept people's ignorant acts meekly in the name of Metta.
Once there was this cobra practisingpracticing loving-kindness in the forest saying: May all beings be well, may all beings be happy, may all beings be peaceful. And an old woman who was collecting firewood saw this cobra and mistook this cobrait for a rope. So she used the cobrait to tie up the firewood that she was carrying. As the cobra was doing loving-kindness practice, the cobrait allowed this woman to do anything. So after the woman carried the bundle of firewood home and then, the cobra escaped, but with a lot of physical painwounds and physical woundspain. So he went to meet his teacher who was the hermit(Bodhisatta) staying in that forest. The cobra said: See what happened to me! I was practisingpracticing loving-kindness, and now see the wounds and all the pain that I'm experiencing in my body! The teacher very calmly said: You have not been practisingpracticing loving-kindness. You have been practisingpracticing idiotic compassion, because you should have shown that you were a cobra. You should at least have hissed! So in relatingwith regards to people like the person youyou've described, you have to learn to hiss, and in doing so you'll also be doing a service for that person.
So if you have any crowd pull, go hiss without biting. :) Or use social media to protest and let them know about it. If business owners get the idea that whenever they do something like that, there will be negative consequences, they will be reluctant to do it in the future as it is bad for business.