International travel shortly after getting married

My passport expires in September of this year. I’m getting married in August. I was going to wait to renew my passport until after getting married since my name will be changing and I do not have any international travel plans. But I just found out I have a work trip in mid September. What is the likelihood I would get a passport with my new name in time? Or should I delay changing my name and renew my passport as is?

Edit: wedding is 8/8. Travel date in September is still unknown. Country of residence is US