She is a very strong woman to be able to hold up so well against what she must face. Many will have fled Boston, and seek a place where no one knows of her great sin. Hester chooses to stay though, which shows a lot of strength and integrity. Any woman with enough nerve to hold up against a town, which despises her very existence, and to stay in a place where her daughter is referred to as a "devil child," either has some sort of psychological problem, or is a very tough woman.(Para23)
Able, Admirable and Angel


Later, the scarlet letter "A" changes its meaning into being able, angel and admirable. The townspeople who condemned her now believe the scarlet letter to stand for her ability to her beautiful needlework and for her unselfish assistance to the poor and sick. “She possessed an art that sufficed,even in a land that afforded comparatively little scope for its exercise,……to add the richer and more spiritual adornment of human ingenuity to their fabrics of silk and gold."(Para5)Except for that small expenditure in…and who not infrequently insulted the hand that fed them.(Para7)

Hester has no friends in the world, and little Pearl is the only companion of her lonely life, so the scarlet letter "A" also is a symbol of the words "alone" and "alienate".
In the novel, the scarlet letter "A" changes its meaning many different times. This change is significant. It shows growth in the characters, and the community in which they live.
Alone and Alienation
The scarlet letter "A" also stands for Hester's lonely life in New England. After she is released, Hester lives in a cottage near the outskirts of tBiblioteka e city.
The most important symbol which is carried throughout the novel is undoubtedly the scarlet letter A. The "A" appears in many other places than on the chest of Hester Prynne. It is seen on the armor breastplate at Governor Bellingham's mansion At night while Dimmesdale is standing on the scaffold he sees a bright red letter A in the sky. While Pearl is playing near the bay shore she arranges some grass in the form of an A on her own breast. But one of the most important A's is one the spectators see burnt on Dimmesdale's chest.
More：Biblical Archetype

The scarlet letter "A" also can be seen the symbol of Adam. It tells us that Hester's sin is the original sin of human being, it is forgivable. The writer shows his sympathy by describing the scarlet letter "A" on Hester's clothing as an ornament and a decoration.

The three changes in the scarlet letter are significant; they show the progressive possession of her sin, her lonely life, and her ability. Hester is a strong admirable woman who goes through more emotional torture that most people go through in a lifetime.
" It had been built by an earlier settler, and abandoned, because the soil about it was too sterile for cultivation, while its comparative remoteness put it out of the sphere of that social activity which already marked the habits of the emigrants." (Para4)


Hester's social life is virtually eliminated as a result of her shameful history. Hester comes to have a part to perform in the world with her native energy of character and rare capacity. " However, there was nothing that made her feel as if she belonged to it. Every gesture, every word, and even the silence of those with whom she came to contact, implied, and often expressed, that she was banished, and as much alone as if she inhabited another sphere, or communicated with the common nature by other organs and senses than the rest of human kind. She stood apart from moral interests… seemed to be the sole portion that she retained in the universal heart."(Para8)
A
symbol of sin
A
symbol of alone and alienation
A
symbol of able, angel and admirable.
Adultery

The letter "A", worn on Hester's bosom, is a symbol of her adultery against Roger Chillingworth. This is the puritan way of treating her as a criminal, for the crime of adultery. The puritan treatment continues, because as Hester walks through the streets, she will be looked down upon as if she is some sort of demon from hell that commits a terrible crime.