Does your Laptop have Microsoft Office / Microsoft Word
installed? If so, it should, but there may be a version incompatibility.
Office 2007 / 2010 should be able to open any previous M$ Office app, with the caveat that it may open older versions originally in read only mode, and you'll need to enable editing in order to edit it.
Office 2003 and lower
cannot natively open documents created in Office 2007 / Office 2010 and saved with native specs (IOW, docs created
and saved in Office 2007 / 2010 formats).
Wordpad cannot open Microsoft Office 2007 / 2010 documents natively, AFAICT.
So, you need to ascertain which version of Office you have on the XP machine and which (if any) version you have on the Laptop and go from there.
Assuming that you do not have Microsoft Office on the laptop, or that it is an older version from the one on your desktop:
One option is to use the Office Web Apps -
Office - Office.com - to open the document. This requires an active Internet connection.
Another is to use your Google account and use Google Docs -
https://docs.google.com/ - and view, edit, and print your doc from there. This requires an active Internet connection.
A third option is to download and install
Microsoft Downloads - Word Viewer - the Microsoft Word viewer - which will act as if you have Word on your computer but only for reading and printing.
A fourth option is to install OpenOffice (a free, Open sourced alternative to Microsoft Office that can handle most Office files) from
OpenOffice.org - The Free and Open Productivity Suite
HTH