IMM 1344 is a form that requires validation and a barcode. You cannot print it out blank and fill it in later. It must filled in, printed, then signed. You must validate it before printing. This cannot be done on a blank form.
CIC is starting to return applications without properly validated forms and barcodes, so I wouldn't risk it.
This form is not acceptable handwritten. Typed only.
You could fax her the form, have her sign it, and she can fax it back. Make sure to use the highest quality settings. If it's blurry, you will probably have to wait until she can mail you a new form.