Awesome chapter, but don't you think that Harry would hug his new sister.
Author's response
I think that HArry doesn't know exactly how to act or react... Think about it... He's never really had a hug till Molly Weasley gave him one and the only other person likely to have given him one is Hermione. Affection is just something he doesn't know much about or how to deal with so he's erring on the side of caution.