re-encourage
/ˌriːɪnˈkʌrɪdʒ/ /ˌriːɛnˈkʌrɪdʒ/ /ˌriːɪŋˈkʌrɪdʒ/verb
[with object] To encourage again; especially to provide (a person) with renewed or increased courage.
Origin
Late 16th century; earliest use found in John Florio (1553–1625), author and teacher of languages. From re- + encourage.