the Christians went over the hills and down into the valley to Pella remember?
Yes, this is documented by a few early church fathers and historians.
in the city of Jerusalem were those who did not pay head to the warning and were "not christian/awaited another Messiah".
For the most part yes. These were the Christ rejecting Jews.
So it does not fulfill a great tribulation where Christians are dying for their testimony of Jesus "my names sake",,,nor are they washed in the blood of the lamb that they do not believe in.
I don't know where you are getting the "Christians dying for their testimony of Jesus".
The Great Tribulation was for the unbelieving Jews, not Christians.