Is it safe to do dental bone graft (emergency due to old implant got bad infection) during pregnancy?

I found out my implant got infect with bone loss at 6 weeks of pregnancy. My surgeon said I need to remove the implant and at least do the bone graft. He told me not to wait because the infection looked bad already. Within 2 weeks after seeing him, the site got swollen and big. Ob wants me to wait until 2nd trimester (1 month from now). I don't know of that infection could wait. What is the risk of doing it now (removal and new bone graft)? Thanks