There are a great many well educated Christians that don't see any contradiction between those things. But if you do, well, whatever.
I personally don't buy into the Big Bang. But the first hypothesis of such a thing I believe came from a Jesuit Astronomer, who was apparently seeking to find some physical evidence of Gods creation. Hubble came along later with the Red Shift and provided some evidence.
Just how many "observations" relating to the Big Bang have you made?
Can you calculate the odds that you are here?
That you live on a planet the precise distance from it's sun to sustain life ?
“So long as the universe had a beginning, we could suppose it had a creator.” Stephen W. Hawking, { his words, not mine }
As for "red shift", the Bible says God "stretched out the heavens"
I wasn't there. That is where "faith" comes into play.