The correct option is A wise and true
Option A: wise and true
As the line suggests, "And health may fade, yet you'll be wise and true", the poet tells her friend that "a spirit of bamboo" will make her friend "wise and true".
Hence A is correct.
Option B: In the lines "Wealth may be lost, and health may fade, yet you'll be wise and true", the poet says that even though one loses health and wealth (becomes weak and sick), the friend will be made wise and true.
It is in spite of these qualities 'weak and sick' that the friend will be wise and true. These lines don't mean that having the qualities of a bamboo will make the poet's friend weak and sick. Hence B is incorrect.
Option C: 'Wealthy and healthy' gives an opposite meaning of the original lines, which say that in spite of losing these qualities, the friend will be wise and true. Hence C is incorrect.
Option D: These words are not mentioned in the poem. Hence D is incorrect.