Failure to comply with coercion is not suicide (else one would be able to say that Jesus Christ had committed suicide).
If your house catches on fire, but you decide to stay in it and let the flames consume you, is that not suicide?
If your plane is going down, but you decide not to use your parachute, is that not suicide?
If you're about to be struck down with an axe, but you don't turn aside from the blow, have you not committed suicide?
This is one reason committing suicide was so popular for early Christians...they recognized Jesus has done so. Remember, it wasn't until
centuries after Jesus was gone that the Church politics got involved and reversed things at the First Council of Braga, with the first anti-suicide statement.*
We don't even have to go to Jesus for that, though. Even Augustine admitted that the coerced suicides were...suicides. For example, the virgins who killed themselves to avoid defilement by Roman soldiers or to avoid being forced to offer pagan sacrifice (e.g., Saint Pelagia of Antioch) were suicides, albeit to avoid compulsions.
The bottom line is that we should get
angry at those who would try to compel us to action that is repulsive to us.
*this was along with things like excommunicating priests who didn't eat meat broth with their vegetables, so it was more politics than Biblically based.