The answer to your question depends on the type of material for the threads you are going to insert into your nose.
PDO threads can last to about 6-9 months. As such, it is safe to have a rhinoplasty 9 months after a nose thread lift unless threads of other materials are put in. PCL threads, on the other hand, would last about 18-24 months.
Alternatively, the surgeon can stack the implant on top of the threads before they are dissolved but that’s not advisable. As always, do consult your doctor before making any decision before going for more than one aesthetic treatments.