Well it depends on how you want to use the EPS and what you are going to
print the publication on.
An EPS will not display in Publisher unless it has a TIF preview embedded in
the EPS which is the more common practice.
You need to print to either a Postscript printer or make a PDF file for the
EPS to print correctly.
If the EPS did have a TIF preview embedded in the picture, and you were
printing to a normal printer, then only the low res TIF preview would print.
I would suggest you convert the EPS to a PNG and use the PNG in Publisher.