I have a 7 year old and can tell you your feelings are justified and not entirely unique. Father's have issues bonding and it takes time, at 3 weeks all the thing does is shit, eat, and sleep. Good on you for helping your wife with her post pardum and she continue to seek help with that. If it all begins to feel overwhelming, you should seek help too because men can also have post pardum, especially if the resentment builds and you begin having negative thoughts about neglecting the child.
All in all, the only thing I can really recommend is that you trudge through, lean on your wife a little more, she can probably take it, especially if you open up to her about your struggles. Sleep deprivation is a form of torture for a reason, but kids to begin to sleep better and have more of an emotional connection in the 3-6 month range.
I have a 7 year old and can tell you your feelings are justified and not entirely unique. Father's have issues bonding and it takes time, at 3 weeks all the thing does is shit, eat, and sleep. Good on you for helping your wife with her post pardum and she continue to seek help with that. If it all begins to feel overwhelming, you should seek help too because men can also have post pardum, especially if the resentment builds and you begin having negative thoughts about neglecting the child.
All in all, the only thing I can really recommend is that you trudge through, lean on your wife a little more, she can probably take it, especially if you open up to her about your struggles. Sleep deprivation is a form of torture for a reason, but kids to begin to sleep better and have more of an emotional connection in the 3-6 month range.
Good luck.