To Deny Yourself.

What does it mean to be a follower of Jesus in a secular world, in both the broad sense and to you specifically? 

To be a follower of Jesus in a secular world is to literally follow his ways. Not in a nonchalant way, but with a sincere and genuine heart of why we follow him.  To make decisions that are Christlike. 

Living in this secular world, God calls us to be be different; to live outside of the norm. In order to follow Christ we need to step out of our comfort zone and do as he does. This doesn't mean to act as a crazy person, but that we might be viewed as different or crazy because the things that Christ does is unusual in this secular world. To be willing to sacrifice.

I believe that being a follower of Jesus in a secular world means to " deny themselves."
"For whoever wants to save their life will lose it, but whoever loses their life for me and for the gospel will save it." (Mark 8:34-35)