Just got a new puppy will my 2 year old female get use to my new Puppy?

Hey everyone, my question for today is how long does it take a 2 year old dog to get use to a 8 mo old puppy? My dog is a female maltipoo named winnie and i just adopted a new 8 mo old puppy i named her delilah she is a yorkie poo. at first Delilah tried to bite my dog winnie 2x because i was holding her and winnie got to close to me but i grabbed her snout and said no bite bad girl and now delilah tries to bite Winnie's feet and winnie gets really mean with her and tries to bite her in her face i think delilah is trying to play with winnie but i don't know i just want them to get along delilah tries to hump winnie and we have another boy dog taz he is a chihuahua he is 8 and he doesn't even bother with her he's scared of her. Will it take awhile for the girls to get along they both sleep with me and they are fine i just don't want them to bite each other and growl and all that etc. if anyone can give me any kind of advice please let me know thank you.