I think you just revealed something very important in this post. You mention a new cat in the neighborhood. Cats are very territorial and this new cat could be keeping your cat from coming home. If you have any of her used litter (sift out the lumps), if not use the same brand, put it in a zip lock bag or plastic bag and have someone help you to do a scent trail. Using the house and the door she left from, spoke out in straight lines like the spokes of a wheel. Go at least as far as the street or woods and then 'T' off from there in either direction. The litter is something with only her scent and the scent of your other kitty. That might help to direct her home.
No news at all, my mind is working over time seeing her hurt ect with it being 10 days. Can't put food out as a cat up the road is eating it and normally wouldn't mind as its a beautiful cat not long moved here. Have had to bag her toys up was looking at them all the time but the kitchen is worse as l got her food in bulk. To try and keep my mind on something else l bought a wild bird feeding station so have 34 sparrows to watch, its like looking at naughty toddlers fighting over food and knocking each other into the bird bath. Daisy watched them all day so in a way if she does come backwards they might remind her as there's only myself and neighbor feeding them,
Jilly