Petrarch (14th Century) sonnet - idealisation of the unattainable, painful, powerful effect of love.
Hunting was a game, and status symbol of courtiers.
Wyatt translated Petrarchan sonnets into Engish, popular in court of Henry VIII.
Potentially about Anne Boleyn, executed for infidelity, an alleged childhood friend, imprisoned at the same time as Wyatt.
Petrarch's Rime 190, Caesar decrees she be free, Deer has a necklace of diamond (steadfastness) and topaz (chastity), not a hunt, just a chase.