обручиться означает в английский

affiance▼(to be betrothed to)
verb
[UK: ə.ˈfaɪəns] [US: ə.ˈfaɪəns]

betroth [betrothed, betrothing, betroths]▼(to promise to take as a future spouse)
verb
[UK: bɪ.ˈtrəʊð] [US: bɪˈtroʊð]