HELP! NANNY NEEDS ADVICE!

I have many years of experience as a nanny, twelve to be exact. I am very skilled in learning and social development. I have been with my current family for over a year now. I follow a schedule, sleep-trained their now 16 month old, and was given the freedom to take him on outings. My problem is this. The mom is a serious germaphobe and up until the baby was a year old he was only allowed on walks around the neighborhood. His parents read a lot of psychologists' advice and have recently began to seriously micromanage my every move. When the baby scores as under-developed in some areas (ie. not walking yet, not speaking over 5 words yet), I catch blame. I must mention that he is only allowed not the floor of his playroom because the mom thinks the other rooms in their rather large house isn't clean enough. The reason is, they have 6 cats and I feel as if they take priority over the baby in that situation. They have a camera in his playroom so they can "record special moments" but really it is to keep an eye on me. I was recently texted one night at 3 AM with a 4 paragraph essay on how they don't think I'm talking to the baby enough. They want consistent reaction. He is never allowed to play on his own. I have to constantly respond. When he wants something I must say yes, unless it is to something that will cause serious injury. One part of the text said that she felt as if his self-confidence was hindered because I said "no" too much. The thing is, I don't. I do set boundaries for him but in no way hurt his feelings when I am helping him learn something. I give him only praise and encouragement, but to them it's not enough. Yesterday, both parents were home and during lunch I cut him blueberries. Because I was doing it by hand she suggested using a plate because "He tends to grab" but he's never done that with me. He acts out more with them than he does with me. I'm structured and they're more "Yes to everything" parents. The only socializing the baby gets is going to a little gym class every Mon and Thurs morning and a Kindermusik class on Friday mornings. The rest of the week I am supposed to be allowed to take him on outings but lately the mom just wants me to take him to the park that is 5 mins away. They bought us all passes to the zoo but they make it a thing to take him on the weekends and am discouraged to take him during the week. I can't take him to the aquarium because the mom doesn't like it, though it's the largest in the country and very educational. I was invited by my fiance's mother and his little sister who is the same age of my baby and the parents said no. I'm just at my whit's end. I was hired as an expert and have done nothing less of an exceptional job. I was even given a raise and $2500 cash bonus for doing so well but lately I've become discouraged and depressed. I have such a special bond with the baby but cannot take the micromanaging and undermining my work. How can I communicate my concerns without come across as disrespectful and arrogant? I want to be firm but not rude. HELP!