i think in this question the issue is less about the definition of violence (thank you for providing one, however) and more with authoritarian or domination or imposition.
foucault is the touchstone philosopher for talking about power relationships being everywhere, and that each of us is in continual, constant negotiations about power (even just within ourselves). so we are always convincing other people and being convinced by other people--emotionally, logically, physically, with different levels of force (from the unnoticed to the very noticed).
so is it worthwhile to consider at what point our impact on another person is not what we want it to be? absolutely.
and to imagine under what circumstances our impact on another person should change? absolutely.
and to ponder how other people's lines for how and when to change their behavior might be different from our own? yes indeed.
an example that i think speaks to this (though YMMV). i was in a feminist class once, and the one boy in the class was talking a lot more than anyone else. in my youthful enthusiasm for "fairness" or something, i asked him to be more quiet, and he got defensive, and i yelled at him. i felt good about it at the time, but another woman in the class didn't ever come back after that because she said yelling was violence to her, and she was too traumatized to even talk about it (apparently).