Birth then bottle... His hard earned independence also makes me so sad

Ftm here. I know it's silly. I do. But I had him with me every second for nine and a half months. Then he was born. And when the umbilical stump fell off in my hand at about a week, I had a pang of sadness.

Now hes almost a month and we're just introducing the occasional bottle of pumped breastmilk so hubby can participate with feeding (with pediatricians blessing. He has zero issue going back and forth between bottle and breast. But I still primarily am sticking to the boob. I like the closeness).

Just asked my dad is going to watch him tomorrow for a few hours, made possible by the bottle option, and it suddenly hit me right now that I'm not necessary anymore, beyond pumping. Someone else can, for the first time, give him what I can. My hubby​ is madly in love with him and it's so beautiful but he's been, well, uniquely mine for so long, in that special way only a mom can understand.

Wow, it hurts. I know it's natural and healthy and the problem is mine, alone, but I wasn't prepared for it to hurt like this. I'm a bit embarrassed, tbh.