(speaking generically here, not specifically to OP)
I think when you respect YOURSELF, you behave respectfully towards any other person. This is not to say subserviant, but rather with the absence of abusive or manipulative behavior.
Therefore, you can be detached, or even unresponsive, if you are doing it respectfully, such as without eye rolling, sighing, toxic staring, stomping off, etc.
And you do NOT have to respect the other person to behave respectfully yourself.
Respect is earned from the other person. Respectful behavior is a standard you set for yourself, because you respect yourself and do not wish to tarnish yourself by behaving abusively/manipulatively toward ANY other person.
JMHO
CLMI