the milk never comes right away. There is something called colostrum that comes before that. It is natural and colostrum is the most nutritios for a newborn.
The early days were quite stressful for me as even though I had lots of info about breastfeeding I was freaking out because I though I did not have milk (and I never saw the colostrum myself). I almost ran to the shop after three days to get a formula! I am so glad I did not.... My milk came in within a week or so. My baby was actually thriving....
I honestly first thought my baby was dehydrated after all that crying and I saw her lips were dry. Oh how I cried!! I did not know what to do. I continued breastfeeding and tried pumping. ...milk came through and I breastfeed until now
. I later realised that those dry lips were just a dried colostrum on her little lips
it tickles me now but if I knew then what I know now it would made my life much easier.
Please do some research, learn as much as you can about BF and as veg suggested maybe speak to a breasfeeding consultant.
I would personally not feed a newborn with a bottle (unless there are health issues but these are very rare) as I would be worried it affects the breasfeeding for future (baby could refuse breast after getting used to bottle).
Also..if someone says 'bottle will make your baby sleep better' this is not true. I know many mums who bottle fed and had the most exhausting nights and I know some exclusively BF mums whose (both) babies slept through the night very early on.
(Sorry to go on if not what you wanted to hear but I have done some BF community support training recently
I had a look at non dairy formulas some time ago but only saw the soy ones. I am not sure where to get the best info but maybe even your GP or paediatrician should have some info?
However you decide I hope you are both well and healthy.
I wish you all the best.