The response I usually get from saying that is people telling me "Hey, Christianity isn't as stuck up as we formerly believed. We used to believe that Christianity was for the legalistic snobs, but you're making me think that it isn't about that. Maybe this is for me too."
Unbelievers don't want to give up their rap music to come to faith in Jesus Christ. And they don't have to. Giving up stuff is not a requirement for salvation - all they have to do is believe that Jesus paid for their sins, rose from the dead, and that he should be the authority of their life as a result of what he has done. They are not going to do that if they believe that God hates them and their music.
See, there is a big difference between listening to rap music and stealing paper clips. Stealing paper clips is obviously against scripture - there is nothing to be gained by that and a lot to lose. But there is no verse in the Bible that says "Thou shalt not listen to rap music."
(In fact, Christian rappers like Lecrae, TobyMac, and NF exist. Listening to them isn't wrong, thus the category of rap music is not categorically wrong.)
The verses that people commonly use to support media discernment are:
First of all, we need to take into account the context of these two biblical passages. The first passage is in the context of Paul resolving a dispute between two people:
Now this could be interpreted as Paul driving home a list of instructions at the end of his letter. This is fine if you want to interpret it that way.
The context suggests, however, that these women were grumbling against one another and becoming bitter and resentful and sad, and this cancer was likely spreading to others. Paul encourages them to rejoice in the Lord, then tells them to think about good things and honorable things instead of everyone else's faults. The context is about relationships in the body of Christ, and using it to talk about media is taking it out of context.
This is Paul defending his work and ministry. Should we emulate Paul's example as the model for ministry operations? Perhaps. But that's not how the passage is interpreted by the media discernment crowd - it's interpreted as an instruction. This passage clearly shows that the line is not an instruction, but rather an explanation by Paul of his own actions.
Second of all, there is the scripture @Hanna_Brassheart brought up from Proverbs. There's a big difference between walking in the counsel of the ungodly - i.e. using ungodly counsel to guide your life - and casually listening to a secular pop track and pointing out its spiritual flaws.
Please keep in mind that your profession does change how certain things are perceived in your life. If you're a Christian writer and you have a bunch of books about other religions on your bookshelf, that will be perceived very differently than if you're a Christian pastor and have a bunch of books on other religions on your shelf. The difference is that if you're a writer, people will assume that you will be weaving other eeeeviiil influences into your stories, whereas the pastor will be written off as him understanding how to evangelize to others or as building up his case for the truth of Christianity.
But I am not an independent fundamental baptist pastor, and neither are you. It's your life. You get to make your own choices (eventually, though probably not yet).
Finally, let me be clear that I am not endorsing the work of Meghan Trainor in any way nor suggesting that you should listen to her. I am defending the right of a fellow Christian to bring her name up in conversation and inquire about her, and for @Ilayne_Merespark to point out that her music was bad. That's my main point here - people are allowed, and should be allowed to talk about things in the body of Christ without being attacked for it. The rest is all side points.
The Bible is very clear about getting our eyes and our heart away from sexually explicit stuff, and Meghan's work emphasizes sexual power and entitlement, something that can be cruel and thoughtless to others. Also very prideful, and that leads to destruction.
Yes, that is one of my pastor's favorite song writers. Have you heard "How Sad our State by Nature Is?" That one is a fun one - if you like Issac Watts.
Alright, I'm going to hang this one up for now, heh. This post is already ridiculously long.