Breaking habits is not an easy task and you must expect a battle. Controlled comforting and controlled crying are different. Leaving a baby to cry it out is one thing and controlled comforting techniques are done at timed intervals leaving baby no longer than 10 mins maximum and with a clear repetitive message given that it’s time to sleep.
After one hour of settling during the day you can give up. During the night you can go until sleep comes offering a drink of water and a reassuring cuddle every one hour.
You are having a battle now anyway so to have one with clear directions and a goal might not be much worse. She wants you to give in first and it will be a battle of wills.
You can get an overview of our settling program from Your Baby’s Sleep
section of the Huggies site or for more detail, and a visual demonstration, It's Time To Sleep