Sorry OP, the nest of vipers is active today. I really don't see why the OP needs to suffer this sort of antagonism when he is asking a perfectly natural question!
FWIW OP, after my first, difficult birth, it took me 9 months before I wanted sex again. And I got pregnant again with that act! It is not what you want to hear, I am sure, and hopefully it won't be as long for you, but it can take a long time to feel sexy again.
It may help you to know what was going on inside me to put me off sex. It wasn't just the physical damage done "down below". Tiredness played a big part, as did breastfeeding my baby. It meant I was doing all the night feeds, and also, sorry, but it made me feel my breasts were for something more important than my husband's pleasure. Also - and this is the harsh truth here - I did go off my husband for a while after the birth as I felt my baby needed me more than he did. All or none of these things might be playing a part in your wife's reluctance to have sex.
Your best bet is to take on as much of the burden for caring for a baby and a house as you can, leaving your wife to rest and think warm caring thoughts about you as a father and husband. Reiterate as often as you can that you only want a cuddle and nothing more. I would find it hard to believe - men tend to want more than that - but if you can prove it to her, she will believe you.
Finally, as everyone else said, wait for your wife to want something more. It will come! (meant to make the point that, as bad as our relationship might sound to you) my husband and I are still happily together 16 years after the birth of our first baby. 