1. 傲慢的;不谦虚的
    If you describe someone's behaviour as immodest, you mean that it shocks or embarrasses you because you think that it is rude.

2. 自吹自擂的;自我吹嘘的;大言不惭的
    If you say that someone is immodest, you disapprove of the way in which they often say how good, important, or clever they are.

1. offending against sexual mores in conduct or appearance

2. having or showing an exaggerated opinion of your importance, ability, etc

    e.g. brash immodest boasting