Reynaldo from your 4 posts, i think LRT is working well for you. What we say around here is "do what works"
what you did worked wonderfully, what is wrong is your expectations. a month of LRT wont solve all the problems and make everything perfect again.
most likely it took her a while to get to the point she was in March, likewise it will take her time to come back. and there will be days she doubts her decisions - to stay or go. and this doubt will bring out mixed emotions.
almost a month is no time at all. this is a long process, with many good and bad days, just relax and keep at it.
consistency is what you want to strive for. the smallest falter can set her off running. take this time to look at yourself and find what changes you need to make on yourself. fix yourself.
getting her to start considering to get back into the relationship is only the first step, you still need to fix what went wrong in the first place.
what you dont want to do is pressure her for more than she's willing to give, which could just drive her away. keep doing exactly what you're doing, and make very small changes to move closer to her. nothing drastic.
her emotions will go back and forth, just let them. validate her feelings, and take responsibility for your part in them, but let her take her responsibility also.
ignore her getting angry at you for working during her brunch time, that's not your fault and she's trying to place blame where it doesn't belong - unless of course you chose to work to specifically keep her from going to brunch then thats a different story.
read the "Sandi2's 37 Rules" thread.
also, do not give up your daughter without a fight. you dont want her to grow up thinking her father couldnt care enough about her to fight for her. You are the man in her life, you are her protector, show her what you're willing to do for her.
"In a ham and eggs breakfast, the hen is involved, but the pig is committed".