I would like to say that you should not worry about your 10 month old girl not holding her own bottle, but note that you will have an even younger one coming soon.
My son who just turned 2, was not interested in holding his own bottle until 14 months, and continued to want to be held during bottle time until a month ago. I tried unsuccessfully at 15 and 18 months to transition him completely to the sippy cup. Each time, he would reduce his total liquid intake to 2 oz a day, even though he was already well familiar with the sippy cup at meal times. After the 3rd day I would just give up in desperation. Then, just before turning 2, he had a rather serious bout of diarrhea and the pediatrician instructed that I withhold all milk products (soy and substitute included) until his bowels returned to normal. I substituted pedialyte for milk for 3 days before switching to plain water. I also swapped out the bottle for the Nuby Sport Sipper. The first day, he reduced his liquid intake to 2 oz a day, but decided that he liked the pedialyte enough to drink from the sippy cup. Since then, he has not gone back to the bottle.
What I want to say is, if it's a matter of life and death, you will find a way to make the transition from bottle to sippy cup (reverting to newborn nipples, offering milk in sippy cup and water in bottle, going cold turkey to sippy cup). Ultimately, it's a matter of your will against your daughter's. It may also be the case with holding her own bottle. But if you will be having help and can afford the time, why not let her go at her own pace and enjoy the cuddle time. As she gets more independent, she will want to hold her own bottle.
Good luck!