Outlook.com allows you set up a secondary address to manage the replies to emails sent from your primary account. This step by step procedure explains how to add a Reply-To address:
Connect to Outlook.com, click on the cog button > Settings. Go to Writing email > Reply-to address:
Select Other address, type the email address you want to use and click on the Save button:
That's it; replies are automatically forwarded to your alternate email address.