Can I be denied religious services while on extra duty?

Your unit will get their 8 hours out of you. Unless church is your normal thing just suck it up. Your unit can make you start ED after services.

There is a policy regarding accommodation of religious practices which encourages commanders to do what they can within reason to allow troops to practice their faith. It is a complicated matter, and usually requests are on a case-by-case basis. Talk to your chaplain about this. The chaplain could explain to your chain-of-command that by going to chapel you might be a better soldier and not be so inclined to do things to cause you to have extra duty.

There are public assessable directives that detail religious issues; USCG COMDTINST 1730.4C RELIGIOUS MINISTRIES WITHIN THE COAST GUARD. Aboard ship, the church pendant is hoisted during Sunday divine services. No disruptive work is allowed during services.

Soldiers can not be denied the right to attend religious services. For Christians, that religious service would be the mass on Sunday. Bible study would not apply. Daily religious service, mass, would likely

You can go before or after, if the extra duty as entails restriction, you can be escorted to and from services.

False... that's literally the only place you can go. But keep in mind, your extra duty comes first, so if you think you can schedule your church time when you're supposed to be scrubbing toilets, well that's just false.

But if you're on restriction, typically it's supposed to be for 6 days a week and 1 day off for religious service.

Your chain of command must provide reasonable accommodation for your religious beliefs, including attending worship services. Key word, "reasonable." This does not replace your extra duty.

shoulda thought about that before you got in trouble

Actually, yes. If you are on extra duty, it is the chains' call. It is an accommodation. Some depends on how long you will be on extra duty, if along duration, some leniency afforded.

I’m going to express my skepticism on this one, based upon personal experience, I will admit that I have no knowledge on your situation but in general Soldiers across the Army (military) have a tendency to exhibit similar behavior under similar situations.
Setting: I’m on BN staff duty on Saturday, which runs me into Sunday morning at 0900. PVT Extra enters the staff duty area, in uniform, to check in. ‘SSG, I am checking in early to make sure I am accounted for and to request to attend religious services today, is this ok?’ ‘Sure thing’, says I. ‘PV2 Duty should be here soon, he too will be attending religious services with me, I’ll be back to pick him up when he signs in.’
So here’s the deal, the Staff Duty brief and duty desk has the ‘religious services’ schedule posted and the policy clearly stated on the attendance of religious services.
So 30 minutes later in waltzes PV2 Duty and PVT Extra in very casual civilian attire (looking more like gym clothes than church clothes, sweats, sleeveless shirts) and inform me and the oncoming SDNCO (whom had just arrived) that they were off to ‘religious services’. The oncoming SDNCO states to PV2 Duty, ‘which service will you be attending?’ PV2 Duty curtly replies, ‘church’. After about 30 seconds of a shocked and defensive stare down I intervene. ‘PV2 Duty, SGT SDNCO is asking you which religious service you and PVT Extra are planning on attending, so she can log your location and have an expected return time for you two.’ ‘CHOP’, replies PV2 Duty, ‘can we go now?’
So here’s the issue, PV2 Duty has been extremely rude and curt with SGT SDNCO and I, is clearly not planning on attending religious services in accordance with the Staff Duty SOP and clearly has an air of entitlement. I ask the two soldiers why they are in civilian clothes and what looks to be gym attire, not church clothes. ‘CHOP is a come as you are church, and we like to be comfortable’, is the reply.

I have PV2 Duty and PVT Extra read aloud the policy that is posted (taped on the duty desk right next to the extra duty sign in log) and proceed to ask them to explain why they think there’s an issue with the current situation that they have created.

List of issues and red flags:
Soldiers request to ‘attend religious services’, not ‘go to church’ or a religious location by name.
Extra Duty Soldiers are restricted to on post, and must remain in duty uniform. CHOP is off post, and ‘come as you are’ would allow for being in uniform.
Refusal to state a specific time of return (didn’t know because they had no intention of attending?).

Moral of the story is,
1. Attend religious service in accordance to policy.
2. Actually attend the service within policy guidelines.
3. Provide the information about your specific intentions, within the guidelines, to the local policies, to the Staff Duty, S3 NCOIC (typically who provides oversight of Staff Duty), and Chain of command prior to event attendance, or upon assignment to extra duty.

I personally believe that the Soldiers in my situation had no intention on attending ‘religious services’ based upon the haphazard way that they went about their request for attendance. Regardless, they were attempting to break all of the guidelines and were extremely rude while doing so.
I gave them the schedule of services and asked them to clarify which service they were attending on post. They both declined, and were sent back to their rooms to change and report to duty at 0900.