Hyphodontia in CNE is a "broad church" with many of those species now being scattered to the four winds, or more than four genera. Bernicchia still has a Hyphodontia s.l. key in the start of the genus section which can divert you to Kneiffiella etc. but when there are septate, capitate cystidia and lagenocystidia you are still in Hyphodontia sensu strictu territory. H.alutaria is a smooth one with plentiful lagenocystidia so feels relatively straightforward to key out. The second picture here shows how generous it can be in terms of displaying its features!