Your problems are many.
First off, the my inside the foreach loop means your variables vanish right after you declare them. Not what you intended. Second, you are violating strict (${$key} is an unstrict ref). Third there are many better ways to do this, but I'm left wondering why you would want to. Why not just use $query->param("whatever") when you need it? Why duplicate it like that? To make your code more legible? Well then that loop isn't going to help. If you really want to get a copy of the params while shaking the $query then use a hash:

use strict;
my $q = CGI->new();
my %p;
$p{$_} = $q->param($_) for qw( name
                               email
                               website
                               andSoOn
                              );
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