The word 'respect' is composed of two sub-words 're' and 'spect' or 'to look back on'. 'Giving consideration' can be another shade of meaning. In relationships and in our conversations, we are never alone or ever without effect on one another. Wonderful loving conversations are thoughtful and respectful and hopefully not selfish. We are all too human at times, but that doesn't mean that that we never stand up for what we believe in and speak truthfully and openly. Often that can be the most loving (love is the key) thing to do for another person. Words have power and we should use them wisely.
The Corinthian culture at the time of the New Testament had a lot of similarities to our culture today especially in philosophy of life and social issues. Paul, in writing to them about the beautiful concept of grace, was clear in enlightening his readers on the love of God and true freedom.
12 All things are lawful (allowed, permitted) unto me, but all things are not expedient (beneficial, profitable): all things are lawful for me, but (emphatic 'but') I will not be brought under the power of any. 1 Corinthians 6:12We can become slaves to the culture and the philosophies of the day. We can even be enslaved by our own appetites, emotions and thinking. The point Paul is making is that God's heart is that we are free from things unprofitable and that do not benefit us if we so choose. He cannot control those things that are set in our path to enslave us. He does however gives us a lot of resources to help us and then he leaves the choice up to us.