Greatly desiring to see thee, being mindful of thy tears, that I may be filled with joy;
Desiring, х epipothoon (G1971)] - 'with yearning as for one much missed.'
Mindful of thy tears - under pious feelings. Wordsworth thinks Timothy's tears were at parting, because of the second arrest of Paul (cf. Acts 20:37).
That I may be filled with joy - joined which "desiring to see thee" (Romans 1:11-12; Romans 15:32). The "joy" would dispel the "tears."