It is called love-shyness colloquially. The person is called a love-shy.

It can be applied to women also but it is usually associated with men. The term can cover the fear of any romantic interaction with the opposite sex.

• love-shy men are unable to get girlfriends/wives either because they don't know how, or they are too affraid.

 
• it means finding it difficult to be assertive in informal situations involving potential romantic or sexual partners. For example, a heterosexual love-shy male will have trouble initiating conversations with women because of strong feelings of anxiety.

 

[Urbandictionary]

Note: If you want a phobia word, there is pussyphobia in slang but I don't recommend using it because it is too slangy and has other connotations as well.

Ildan has pussyphobia because he is scared to ask girls out or talk to them. [Urbandictionay]

Although, the term is used in this article about a man who cannot approach a girl without becoming a nerve wreck from nyc.barstoolsports but it is not a serious news site. They got it from a Telegraph article and reworded it.

An extreme case can be gynophobia (or gynephobia):

...is an abnormal fear of women, a type of specific social phobia. In the past, the Latin term horror feminae was used. [Wikipedia]

It is called love-shyness colloquially. The person is called a love-shy.

It can be applied to women also but it is usually associated with men. The term can cover the fear of any romantic interaction with the opposite sex.

• love-shy men are unable to get girlfriends/wives either because they don't know how, or they are too affraid.

• it means finding it difficult to be assertive in informal situations involving potential romantic or sexual partners. For example, a heterosexual love-shy male will have trouble initiating conversations with women because of strong feelings of anxiety.

[Urbandictionary]

Note: If you want a phobia word, there is pussyphobia in slang but I don't recommend using it because it is too slangy and has other connotations as well.

Ildan has pussyphobia because he is scared to ask girls out or talk to them. [Urbandictionay]

Although, the term is used in this article about a man who cannot approach a girl without becoming a nerve wreck from nyc.barstoolsports but it is not a serious news site. They got it from a Telegraph article and reworded it.

An extreme case can be gynophobia (or gynephobia):

...is an abnormal fear of women, a type of specific social phobia. In the past, the Latin term horror feminae was used. [Wikipedia]

It is called love-shyness colloquially. The person is called a love-shy.

It can be applied to women also but it is usually associated with men. The term can cover the fear of any romantic interaction with the opposite sex.

• love-shy men are unable to get girlfriends/wives either because they don't know how, or they are too affraid.

• it means finding it difficult to be assertive in informal situations involving potential romantic or sexual partners. For example, a heterosexual love-shy male will have trouble initiating conversations with women because of strong feelings of anxiety.

[Urbandictionary]

It is called love-shyness colloquially. The person is called a love-shy.

It can be applied to women also but it is usually associated with men. The term can cover the fear of any romantic interaction with the opposite sex.

• love-shy men are unable to get girlfriends/wives either because they don't know how, or they are too affraid.

• it means finding it difficult to be assertive in informal situations involving potential romantic or sexual partners. For example, a heterosexual love-shy male will have trouble initiating conversations with women because of strong feelings of anxiety.

[Urbandictionary]

Note: If you want a phobia word, there is pussyphobia in slang but I don't recommend using it because it is too slangy and has other connotations as well.

Ildan has pussyphobia because he is scared to ask girls out or talk to them. [Urbandictionay]

Although, the term is used in this article about a man who cannot approach a girl without becoming a nerve wreck from nyc.barstoolsports but it is not a serious news site. They got it from a Telegraph article and reworded it.

An extreme case can be gynophobia (or gynephobia):

...is an abnormal fear of women, a type of specific social phobia. In the past, the Latin term horror feminae was used. [Wikipedia]