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I am writing an article on "God, Types of Worship" and I'm looking for a term which describes worshiping a single god at a time.

That is, given that different gods exist, the practise of worshiping only one of these at a given time, then moving on to worship another god. The focus of worship changes, but the worshiper's overall religion remains the same.

Monotheism is not the word I am looking for. I know the term but I can't recall it.

____ is the practise of worshiping one god of many extant gods, one at a time.

The term you are looking for is Kathenotheism. It was coined by Max Muller from Greek kath' hen "one by one" i.e. kata- "according to" + en- "one" plus -theism.

So, in Kathenotheism (it is not a religion in itself, it is use to denote a particular type of religion) you worship one God head at a time and then move ahead to worship another Gods (Trinity)/Deities in same sect, or religion.

Reference from Wikipedia https://en.wikipedia.org/wiki/Kathenotheism

Müller coined the term in reference to the Vedas, where he explained each deity is treated as supreme in turn.

Please note, Kathenotheism is different from Polytheism. In Polytheism, we worship all Gods (Trinity) and other deities at the same time, but in Kathenotheism we worship ONLY one God at a time, then move ahead to worship another one.

Also, note that Kathenotheism is different from Henotheism. Henotheist person, worships only one God, and neglects all other. Henotheist, does know, that there exists other Gods and Deities, but she/he worships only ONE God. The word Henotheism was also coined by Max Muller.

I don't want to complicate things for you, but I think you should also know, the difference between Monotheism and Henotheism. Monotheism is different from Henotheism, in a way, that in Monotheism you know that there is only one God and no other i.e. no concept of Trinity or deities.

Is monolatry the word you're looking for?

Monolatry, in contrast to monotheism, refers to the worship of a single god, without denying the validity of others.

Another word for this is henotheism, which is very similar to the already-mentioned monolatry. Both are religions where one only worships one God without denying the existence of other gods.