My Spirited Response
Finally, my personal take. It might come across as rather diplomatic or even politically correct at times while being politically incorrect at others, but it is where I stand.
I have prayed “Holy Spirit, continue to guide us today” and other such prayers. I have said “Holy Spirit, you are amazing the way you work” and “Thank you for the connection with Christ” and things similar.
This makes it sound like I completely agree.
There are things such as “anyone who blasphemes against the Holy Spirit will not be forgiven” and “with the Father and with the Son he is worshiped and glorified” which are compelling.
This also raises the point of the Trinity. If the Father, Son, and Holy Spirit are all equally God in one being, then it would make sense to pray to and worship Him.
There are times it is definitely not okay, however.
I have been in churches who worship the Holy Spirit to the point of almost forgetting or even leaving out mention of the Father and/or the Son. I heard a preacher call it a “Holy Spirit fetish” and heretical. The Holy Spirit will always point towards the Son to glorify the Father. If this is not happening, then you are worshiping something not the Holy Spirit and caught in idolatry.
I have been in churches where prayers sound like a shopping list. If you are asking the Holy Spirit to work certain situations and/or people into ways that do not edify the church or are ungodly, you are caught in idolatry, using the Lord’s name in vain, and (honestly) selfishness.
It sure seems to me that the Holy Spirit is to be “worshiped and glorified”, but I would advise caution. Check your heart before moving forward. Make sure you are worshiping and glorifying in the proper manner. This is true for each member of the Trinity! Each can be twisted into evil dimensions and for ridiculous endeavors.
Just remember, our focus should be on bringing glory to God. If there is doubt, you are in dangerous territory. The things of God will always edify the Church, glorify the risen Son of God, and bring praise to God (each part/the whole).