If it's only for 10 minutes, it sounds like she just like to make her own white noise to wind down to sleep. Both of my kids are the same way, my 2 year old and my 5 month old. With my first I would never put him down until he was completely asleep and he ended up being a terrible sleeper until we went through an excrutiating CIO process around 11 months. After he figured out how to soothe himself to sleep, he still would whine/groan/fuss for a few minutes before zonking out. Now he's 26 months and just kind of talks to himself or sings a little while he's falling asleep and between sleep cycles. My daughter is 5 months old and I just recently started putting her down while she was drowsy but awake and walking away. She rarely cries for more than 10 minutes and I KNOW that if I were to stay with her and try to soothe her to sleep, she would force herself to stay awake to play rather than going to sleep (because this is what she has done for the past 5 months lol)
Your daughter will probably always make some kind of noise to put herself to sleep, it will just change from crying to whining to yodleing to talking over time. And as for the nighttime feeding, she's still really young to go the entire night without a feed. Most adults (Myself included) can't go 12 hours without a snack or drink, so i wouldn't expect a baby to be able to either. It sounds like everything you're doing it working out fine--it is hard hearing them cry, but rest assured that your daughter is 100% fine and is just using her "voice" to soothe herself to sleep.