I think it's okay for Christians to have jobs or careers that aren't explicitly Christian. It's all about how you live your faith in your daily life, not just the job title you hold.
Living out our faith in our daily lives is a great point and summarizes how I've always approached every position I have been blessed to have in my 35+ year career working mainly for secular organizations. I did work for a couple of "Christian" companies, but they were being run by the 2nd generation who did not carry on their parents' Christian foundations for the business.
I like what the apostle Paul has to say on how he worked with various non-Christians spreading the gospel:
1 Corinthians 9:19-23
New King James Version
Serving All Men
19 For though I am free from all
men, I have made myself a servant to all, that I might win the more; 20 and to the Jews I became as a Jew, that I might win Jews; to those
who are under the law, as under the [
a]law, that I might win those
who are under the law; 21 to those
who are without law, as without law (not being without [
b]law toward God, but under [
c]law toward Christ), that I might win those
who are without law; 22 to the weak I became [
d]as weak, that I might win the weak.
I have become all things to all men, that I might by all means save some. 23 Now this I do for the gospel’s sake, that I may be partaker of it with
you.
As Christians, we have been called to serve our God and fellow mankind to promote the spreading of the gospel. Paul's approach towards his work was to "become all things to all men", adapting and tailoring his message and work to meet the needs of his audience. From an organizational perspective, my responsibility is to serve the needs of my company, our customers, our suppliers, and all stakeholders. It's an outward servant-leadership approach following the example of our Lord.
As a Christian, I am committed to working hard, going above and beyond, and setting a good example to glorify God ultimately (I'm not perfect for sure and have made many mistakes at work, too). One of the greatest compliments I received from a colleague was "you really try to live out your faith, and I admire that." That's what it's all about. I want to hear those words from Jesus: "Well done, good and faithful servant; you were faithful over a few things..." (Matthew 25: 21).