If you want push Hotmail, I highly recommend you use the stock android email app. Open the stock email app, start a new account, enter your Hot mail account and password, but instead clicking next, click Manual Setup. Click exchange. In the Domain/username tap there and put your full email a dress it it. Make sure to retain the slash before it. Keep the password section the same. For the server, delete the whole thing and enter "m.hotmail.com" scroll all the way down and click next. TADA!! Push hotmail without any third party app.
Note, this works with Hotmail, Live, and Outlook. The email address in the Domain/username accepts @Hot mail, @Live, or @Outlook! The server stays the same though. Google knows how to write their apps properly.