There is no technical problem. Take your file in Photoshop and enlarge it to the size of a TV screen. The aliasing, and general blowup of tiny text to huge sizes looks terrible - and in the originating program. It ain't gonna get any better when you import it into another program.
First thing I'd tell my client (I suppose this is their business card or something?) is they need a marketing person with print expertise. This card design sucks. They'll only get blind clients from it and even then, only if they add braile.
TIP: Quit duplicating the logo image. Enlarge the crap outta it and perhaps put it in the center or just off-center. Get rid of 2/3rds the print and enlarge the rest. Leave plenty of white space. But don't do any of this yourself and don't have your client do it. Go to a local printer where they do layups and design work. Have them help you. Then, send my commission check to... X-D
PS - if you just gotta have tiny text, and disregard my advice, then do the text with PP's titler. At least that will vectorize and avoid the aliasing.