The difference between Anguish and Suffer

When used as verbs, anguish means to suffer pain, whereas suffer means to undergo hardship.

Anguish is also noun with the meaning: extreme pain, either of body or mind.

check bellow for the other definitions of Anguish and Suffer

Anguish as a noun:

Extreme pain, either of body or mind; excruciating distress.

Suffer as a verb (intransitive):

To undergo hardship.
Suffer as a verb (intransitive):

To feel pain.

Examples:

"At least he didn't suffer when he died in the car crash."
Suffer as a verb (intransitive):

To become worse.

Examples:

"If you keep partying like this, your school-work will suffer."
Suffer as a verb (transitive):

To endure, undergo.

Examples:

"I've been suffering your insults for years."

"We hope you never have to suffer the same pain."
Suffer as a verb (transitive, archaic):

To allow.