ANSWER: Yes! The article you write about deals with public prayer when both males and females are present. The point is rightfully made that, in such an instance, the men of the church are to lead the prayer. Otherwise, the congregation would be in violation of I Timothy 2:8-12).

In I Timothy 2:1, we learn of different types of prayer; 1.) Supplications; a request of God for particular or certain benefits, 2.) Prayers; a more general term, during which we commune with God, expressing our emotions and asking His guidance in our lives, 3.) Intercessions; requests of God on the behalf of others, and 4.) Thanksgivings; thanking Him for both the physical and spiritual blessings He has provided. All of these are often included as we approach our Father with a need (whether for self or others). Romans 8:26 is not discussing a different kind of prayer. It is teaching that when we do not know how to express our selves to God (perhaps only with a groaning that cannot be uttered) that the Holy Spirit will intercede in our behalf.