I would not use to make inroads in this context. Even though the idiom "to make inroads" means a gradual encroachment, or to get progress started, it is important to note that the root "inroad" originally meant an invasion; something sudden and generally unwelcomed. Thus, to make inroads is often used in a context where this is at someone else's expense, inconvenience, or downfall, or when overcoming some formidable task or object--not someone's heart or emotions, typically.
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I know this poem is not well-translated
The bad, when his love made inroads into your heart
Lo! escape from him and cut talking to him
uproot it from you heart, since if it emerge
it will up root you and your believing heart