Millen,
It sounds as if you are doing really well. Things like bedtimes are pretty subjective as it is really what suits you and your family best - some like to have an evening to themselves and prepare for an earlier start whilst others prefer to have baby up later and have a later start to the day. If you want to change your routine now you could use the 6 pm cue to start a bedtime routine, put her down in her cot for a nap and still wake her later for a feed/sleep if you feel it is necessary.
As to the crying/anxiety, there is a thread called Clingy Baby where you will find others, including me, who have experienced the same thing at the same age to varying degrees. Obviously you cannot play with her actively all day and you should not feel guilty for this, even if she protests. She is probably too young for the walker (personally not a big fan anyway) but could you put her in a highchair or bouncy chair/car seat, or a sling, so that she can accompany you when you need to do other things. Even if she could watch you from a pram she might feel less anxious.If you do have to leave the room, continuing to talk to her might offer some reassurance that you are still present and will come back shortly.
I doubt that cuddling her will hinder her development but when you play with her try to get down to her level on the floor and face her. You can prop her up for short periods and play peek a boo with you, her and some favourite toys, for example. I always remember being told that a mother was the best toy a child could have. Our dd was always keen for interaction like this to the extent that she was 9 months old or more before we turned her pushchair to face forwards - and that was to distract her from the fact that someone else was pushing!
Do you have any friends or relative with whom she could spend a short while, with you still present in the background at first. Our dd will stay with relatives now, small protest to begin with but otherwise happy, although this point has taken a while to reach. What is she like if your partner is there too, will she remain alone with him entertaining her ?
Good luck and do be reassured that this phase is normal and does pass, although my dd is clamouring for her "duddles" as I type !
LizS