If a woman has had an abortion, and since become Christian can she enter heaven? Is there forgiveness if she repents?

Psalm 78:37 says,"...their heart was not right with him, neither were they stedfast in his covenant. But he, being full of compassion, forgave their iniquity, and destroyed them not: yea, many a time turned his his anger away, and did not stir up all his wrath. For he remembered that they were but flesh; a wind that passeth away, and cometh not again. How oft did they provoke him in the wilderness, and grieve him in the desert." 

Daniel 9:18 says,"We do not present our supplications before thee for our righteousnesses, but for thy great mercies."  

Psalm 138:8 says,"The Lord will perfect that which concerneth me: thy mercy, O Lord, endureth for ever."John 6:51 "I am the living bread which came down from heaven: if any man eat of this bread, he shall live for ever: and the bread that I will give is my flesh, which I will give for the life of the world." 

Lam. 3:22,23 says,"It is of the Lord's mercies that we are not consumed, because his compassions fail not. They are new every morning: great is thy faithfulness." 

Hebrews 7:25 reminds us,"Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them." 

Hebrews 10:12 "But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God;" 

Hebrews 10:14 "For by one offering he hath perfected for ever them that are sanctified." 

1 John 2:25 "And this is the promise that he hath promised us, even eternal life."

1 John 5:13 "These things have I written unto you that believe on the name of the Son of God; that ye may know that ye have eternal life, and that ye may believe on the name of the Son of God." 

Jesus Christ can never break His promises. Our righteousnesses or works never enter into an equation about whether we will enter into heaven. The only requirement for Heaven is the Son. 1 John 5:11-12 "And this is the record, that God hath given to us eternal life, and this life is in his Son. He that hath the Son hath life; and he that hath not the Son of God hath not life." When Christ died on the cross, ALL of our sins were future sins. Some people worry about the sins they will commit in the future, and think they will have to continually confess their sins to get to Heaven. Christ died ONCE for ALL sin. He looked ahead in time, and saw you and He saw me. (Ps. 90:8) He saw the list of every sin that we would commit, and He lovingly and resolutely drank that bitter cup and went to the cross. Knowing full well what we were going to do - He said I'll die for them so that they could go to Heaven with Me. When we ask Jesus Christ to forgive us of our sins and to be our Saviour, He declares us righteous. It is not just as though we have not sinned, it is more! He declares us as righteous! The righteousness of Jesus is placed into our account. When those who are saved stand before God, He does not see someone without a sin penalty to pay, He sees the righteousness of His Son placed on us! Yes, people sin and fail God - but He never fails! His promises are eternal. Even David said, "For thy name's sake, O LORD, pardon mine iniquity; for it is great." (Psalm 25:11) What gives us the sure assurance that He forgives our sin? His Word. Psalms 138:2 says, "I will worship toward thy holy temple, and praise thy name for thy lovingkindness and for thy truth: for thou hast magnified thy word above all thy name." God's Word, promises, loving kindness, and forgiveness never fail.We take hope. 1 Peter 3:15 says, "But sanctify the Lord God in your hearts: and be ready always to give an answer to every man that asketh you a reason of the hope that is in you with meekness and fear." As Christians, EVERYTHING we base our beliefs and doctrine on is in the Bible - because it is the Word and Promise of God. God forgave the harlot Rahab, woman at the well, the persecutor Saul - who even consented to the stoning of Stephen, the Roman jailer, the thief on the cross - whose crime probably involved murder, and many more... 1 Timothy 1:15 "This is a faithful saying, and worthy of all acceptation, that Christ Jesus came into the world to save sinners; of whom I am chief." Romans 7:24 "O wretched man that I am! who shall deliver me from the body of this death? I thank God through Jesus Christ our Lord."