That depends on what you mean by "show" - are you thinking of using her for 4-H/FFA type showing or are you wanting to show in APA poultry shows? Easter Eggers, being mixed breed, are not eligible for showing in APA type shows, but may be able to be used as project birds for 4-H, FFA, etc. For the latter, your best source of information is your local 4-H office as they can tell you whether mixed breed birds are allowed for the county and/or state level showing (I would suspect county will likely not be as much of an issue, but state level showing may be)
X2 on that.