The below script can be used in the respective incident template under Form Load section of Field and Form Rules.
if(["Application Crashes Frequently","New incident"].indexOf(jQuery("select#template_box").select2("data").text)==-1){
jQuery("select#template_box").parent().hide()
}
The rule has to be created under the template where you do not want the other templates to be shown:
In our case Application Crashes Frequently is the template that's used as an example. You can replace the template's name. If you want multiple templates to work in the same way, use the same script under other templates as well and rename the template names.