Marriage is not only for fulfilling one’s sexual needs. The main motive of the marriage is to find peace and relieve stress when you see or talk to your spouse.
However, if a partner disagrees with continuing the marriage or death takes away a partner, the other partner is free to live and find a new suitable partner.
There might be relief in termination of the marriage, Allah said,
"But if they disagree (and must part), God will provide abundance for all from His all-reaching bounty: for God is He that careth for all and is Wise." An-Nisa /130
The divorcee or the widow have the certain rights to preserve their chastity according to the Noble Quran. Women have the right to marry, which Allah has forbidden anyone from preventing so He said,
"When you divorce women, and they fulfill the terms of their (’Iddat), do not prevent them from marrying their (former) husbands, if they mutually agree on equitable terms." Al-Baqarah/232
Women have the freedom to choose suitable husbands for them.
Before marrying, choosing the right wife is really important. Being widowed or divorced is never an issue for remarrying. But, one has to seek four things before selecting the wife.
“A lady is married for one of four reasons: wealth, rank, beauty or piety. Choose the possessor of piety and achieve success.” (Sahih Bukhari 762 v2)
In another Hadith the Prophet of Allah (SAW) has said:
“Do not marry women on account of their beauty, for it is possible that this very beauty may become the cause of her destruction. Neither marry women because of their wealth for it is possible this may be a cause for her rebellion and mischief. Rather marry women because of their piety. A lowly slave girl graced with piety and noble character is infinitely superior to a beautiful high class woman of poor character.” (Sunan Ibn Majah P133)
So, in the hadith above it is clear that a woman’s good character and deen is the most important aspect to get married.
About marrying a wealthy woman
In a Hadith, it is suggested that one should not choose a wife based on the possession of her wealth. Wealth can be present today but it might be gone someday. Wealth is not something fixed or permanent. Being rich herself might lead to higher expectations of an expensive lifestyle which later on bring problems in married life for the husband to fulfill every materialistic needs of the wife if the husband belongs to the basic background.
Is it alright to marry a rich widow?
There’s no problem marrying a rich widow. But one should not prioritize only her wealth in terms of marrying. Because wealth is not permanent to stay for a lifetime, the woman’s deen is the most important to value because it stays with her even though her wealth comes and goes.
Is it safe to marry a widow looking for marriage?
A widow has all the right to remarry of her choice or to start anew. After her husband’s death, a widow can marry a husband of her choice or choose a life-partner of her own. One must seek piety or deen in the woman before marrying. If the bride has piety in her, there's nothing to be worried about before getting married.