H.S.
I would not allow any physician to put tubes in my child's ears. This is coming strictly from personal experience. I had the exact same surgery that you describe when I was 6 years old. I have never had any complications from having my tonsils or adenoids removed, but I have had several complications from having tubes put in my ears.
I had tubes put in both of my ears. The tube which was put in my right eardrum fell out naturally over time, and healed itself. The tube that was put in my left eardrum caused a lot of problems for me. It did not fall out naturally, and had to be removed. It left a hole in my left eardrum. At age 9, I had a corrective surgery using skin that was grafted from behind my ear lobe to fix the hole. The surgery was initially successful, but failed after about 6 months.
I have had a permanent hole in my left eardrum since the age of 9. It has caused numerous ear infections, and has affected my hearing drastically. I have close to perfect hearing in my right eardrum, but in my left eardrum, I have 60% hearing loss. I have had to wear a special earplug that I got molded to my ear from my ENT since I was a child... I have to wear it anytime that I come into contact with water. I am 27-years-old now, and I may have to have a hearing aid in my left ear in the next few years. That surgery for tubes caused many problems for me, and has affected my quality of life, still, to this day.
Research this thoroughly, and do not rely only on doctors advice. You certainly make the most informed decision for your child, but realize that a decision that you make now could affect her for a lifetime. Best of luck!