Or even better, put the condition in the match pattern:
<xsl:template
match="Species[Extinct='False' and Genus_Name='Casuarius']">
<p>species name is <xsl:value-of select="Species_Name"/></p>
</xsl:template>
<xsl:template match="Species"/>
Yeah, I should have explained this is what I wanted, but couldn't get
it to work right (because I didn't have the second template)!